the vertex of a parabola is located at (-2,5). If the parabola has a y-intercept of -27, which quadratic function represents the parabola in standard form? y=a(x-p)^2 +q

Answers

Answer 1

Answer:

            f(x) = -8(x + 2)² + 5

Step-by-step explanation:

y = a(x - p)² + q  - the vertex form of an equation of a parabola with a vertex (p, q)

(-2, 5)  ⇒  p = -2,   q = 5

y = a(x + 2)² + 5   - the vertex form of an equation of the parabola with vertex (-2, 5)

y-intercept of -27 means x=0,  y=-27

-27 = a(0 + 2)² + 5

-27 -5 = a(2)² + 5 -5

-32 = 4a

  a = -8

The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:

                              f(x) = -8(x + 2)² + 5


Related Questions

Order the numbers from least to greatest [-8.2, 6, -3.5, 8.2, -5]

a. 6, 8.2, -3.5, -5, -8.2 b. -8.2, -5, -3.5, 6, 8.2

c. 6, -5, -3.5, -8.2, 8.2 d. 8.2, 6, -3.5, -5, -8.2

Answers

Answer:

B. -8.2, -5, -3.5, 6, 8.2

B) What is the measure of E PLEASE Explain how you know.

C) Describe the relationship between E and K? What is the measure of K

Answers

Answer:

Step-by-step explanation:

e and k are alternate exterior angles so they would be the same measurement you cant really do it without atleast one measurement did you miss anything on the question maybe?

There are 230 ounces in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

Answers

Answer:

Find the unit rate;

230 calories      57.5 calories

_____________ = _____________

  4 ounces              1 ounce

We multiply those 57.5 calories with 6 ounces

57.5(6) = 345, there are 345 calories in 6 ounces.

(note that you formatted the question wrong, it was supposed to be):

There are 230 calories in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

Sally scored 9.007 in gymnastics. Jack scored 8.949. How much higher was sally scored than jack’s

Answers

Answer:

0.058

Step-by-step explanation:

Answer:

0.058

Step-by-step explanation:

A circle is translated 4 units to the right and then reflected over the x axis. What statement will always be true of the circle at the new location?

Answers

Answer:

The statements are not given, so i will answer it in the most general way possible:

First, let's recall two things:

Horizontal translation.

For a number A positive, we can move the graph of f(x) by A units to the right by the transformation g(x) = f(x - A)

Reflection over x

For a point (x, y), a reflection over the x-axis transforms this point into (x, - y).

Now let's analyze the problem:

A generic circle, of radius R and centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2 = R^2.

Now let's translate this 4 units to the right:

(x - 4 - a)^2 + (y - b)^2 = R^2.

or in standard circle notation:

(x - (4 + a))^2 + (y - b)^2 = R^2.

Now the circle is centered in the point (a + 4, b).

Now let's do a reflection over the x-axis.

This means that the sign of y changes, so now we have:

(x - (4 + a))^2 + (-y - b)^2 = R^2.

But because the term with y is squared, this is the same than:

(x - (4 + a))^2 + (y + b)^2 = R^2.

Or, in standard circle notation:

(x - (4 + a))^2 + (y - (-b))^2 = R^2.

Then the circle is now centered in point (a + 4, -b).

So now you know where the circle is located, and also you can see that the radius of the circle never changed.

Angle C is a right angle. Find the side indicated to the nearest tenth. Find c if b=11.9, m∠B=20°
A.) 45.2
B.) 43.1
C.) 42
D.) 34.8

Answers

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{11.9}{c}[/tex] ( multiply both sides by c )

c × sin20° = 11.9 ( divide both sides by sin20° )

c = [tex]\frac{11.9}{sin20}[/tex] ≈ 34.8 ( to the nearest tenth )

If a fair coin is tossed 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 2 tails?

Answers

Answer:

You flip a coin 4 times, with 2 possibilities every flip, heads or tails. So, every time you throw there's a 50% chance you'll throw tails. so it would be 1/2

The probability of getting at least 2 tails is 0.688.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Given that, a fair coin is tossed 4 times.

So, sample space is

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

Now, total number of outcomes =16

Number of favorable outcomes = 11

Probability =11/16

= 0.6875

≈ 0.688

Therefore, the probability of an event is 0.688.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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$59.95 with a 6% sales tax, what would be the total cost to the nearest cent?

Answers

Answer:$63.55

Step-by-step explanation: You multiply 59.95 by 1.06

QUICK whoever gives correct answer Will get brainliest ​

Answers

Answer:

Slope can be found by determining the ratio of the rise (vertical change) to the run (horizontal change).

In this case miles is the rise, and 3 hours is the run

It should rise 12 and go over 3

I cannot really make out what's on your screen but it's likely it would be D.

The line has to pass 3, it cannot be off 3 by a bit.

And it should be lower than 20 because it rises 12.

The answer is (D),because the line is almost 12/under the 20 and the time in hours is between the 2 and the 4

How do I calculate the area of a triangle? I completely forgot.

Answers

Answer:multiply the height by the width then divide by 2

Step-by-step explanation:

Answer:

A=1/2*b*h

Step-by-step explanation:

Hope I helped

please please please help

Answers

d. 270 degrees counterclockwise
hope this help!

-2+3x=16
what is x equal to

Answers

Answer:

x = 6

Step-by-step explanation:

-2 + 3x = 16

add 2 to both sides

-2 + 2 + 3x = 16 + 2

0 + 3x = 18

3x = 18

divide both sides by 3

3x ÷ 3 = 18 ÷ 3

1x = 6

x = 6

Answer:

6

Step-by-step explanation:

To solve this we must get the variable and the number alone on one side.

1. -2+3x=16

2. 3x=18

3.x=6

The first term of a sequence is 13. The term-to-term rule is 'take away 5'. Work out the 4th term

Answers

Answer:

The answer is -2, give me brainliest answer

Step by step solution:

1. 13-5=8

2. 8-5=3

3. 3-5= -2

Answer:

-2

Step-by-step explanation:

13

13 - 5 = 8

8 - 5 = 3

3 - 5 = -2

The line through (1,6) perpendicular to the line x + y=5 meets the curve y=2x + 4/x again at p. Find the coordinates of p​

Answers

Answer: (4,9)

Step-by-step explanation:

If the perimeter of a rectangle is 19. 4cm what is the width?

Answers

Answer:

Come on... Not enough evidence given.

Step-by-step explanation:

if f(n) = n² - n, then f(-4) is ______.

A. -12
B. -20
C. 20
D. 12

Answers

Hope to help you!,Have a good day.

A 2-pack of juice boxes costs $0.44. What is the price per box?

A. $0.44 per box

B. $0.88 per box

C. $0.22 per box

D. $0.11 per box

Answers

Answer:

C. $0.22 per box

Step-by-step explanation:

if it's two juice boxes and they cost $0.44 together. You divide by two, since there are two boxes. with that you get your answer, 44÷2=22. making the answer $0.22

C. $0.22 per box
To find the price of one since it’s a two pack if you divide it by two you get 22 cents.

Step by step please.

Answers

Ok so the general form of a circle is given by;

(x-a)²+(y-b)²=r²

where a and b are the coordinates of the center

and r is the radius of the circle

For this case we know that the center is (5,-7)

So the general equation of the circle would be;

[tex](x - 5) {}^{2} + (y - ( - 7)) {}^{2} = r {}^{2} [/tex]

[tex](x - 5 {}^{2} + (y + 7) {}^{2} = r {}^{2} [/tex]

Since we know that (-3,-1) is a point on that circle, we can say that it satisfies the equation of the circle;

[tex]( - 3 - 5) {}^{2} + ( - 1 + 7) {}^{2} = r {}^{2} [/tex]

[tex]r {}^{2} = ( - 8) {}^{2} + ( 6) {}^{2} [/tex]

[tex]r {}^{2} = 64 + 36 = 100[/tex]

So now,

[tex](x - 5) {}^{2} + ( {y + 7)}^{2} = 100[/tex]

5. Mrs. Jaffe has 48 Starbursts and 64 Skittles. She wants to package them
in plastic bags so that each bag has an equal number of Starbursts and an
equal number of Skittles. What is the greatest numbel of bags Mrs.Jaffe
can put together with pieces of candy left over?

Answers

Answer:

8

Step-by-step explanation:

You find the GCF of 48 and 64

Answer:

8

Step-by-step explanation:

The lines a and b are parallel . Find a.

Answers

Based on the corresponding angles theorem, a = 30°.

What is the Corresponding Angles Theorem?

Two angles that correspond to each other are congruent based on the corresponding angles theorem.

Thus:

5x + x = 180° (linear pair)

6x = 180

x = 180/6

x = 30

Therefore:

x = a (corresponding angles)

a = 30°

Therefore, based on the corresponding angles theorem, a = 30°.

Learn more about corresponding angles theorem on:

https://brainly.com/question/17883766

I need help with this!!

Answers

Answer:

See below.

Step-by-step explanation:

1. Given

2. Commutative property of addition

3. Substitution property

4. Subtraction property of equality

5. Additive inverse property

6. Substitution property

7. Multiplication property of equality

8. Multiplicative inverse property

9. Substitution property

Hassan made a scale drawing of a house and its lot. The scale he used was 1 inch : 10 feet. The backyard is 5 inches long in the drawing. How long is the actual yard?​

Answers

Answer:

Its 50 ft

Step-by-step explanation:

just multiply 5 by 10 because 1 inch is 10 feet

8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [ ? ] ft?
Notice that only half of the circle is included in the figure!

Answers

The figure contains a triangle and a semicircle

The area of the figure is 49.12 square feet

How to determine the area

The dimension of the triangle is:

Base = 8 ft

Height = 6ft

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 8ft * 6ft

Evaluate

Area = 24 square feet

The radius of the semicircle is:

r = 4 ft.

So, the area is:

[tex]Area = 0.5\pi r^2[/tex]

This gives:

Area = 0.5*3.14 * 4^2

Area = 25.12 square feet

Add the calculated  areas.

Total = 24 square feet + 25.12 square feet

Total = 49.12 square feet

Hence, the area of the figure is 49.12 square feet

Read more about area at:

https://brainly.com/question/24487155

20% more than $18 is what amount?

Answers

Answer:

$21.60

Step-by-step explanation:

20% can be written as 0.2

0.2 · $18 = 3.6

Add 3.6 to $18

$18.00 + 3.60 = $21.60

So the answer is $21.60

Hope I helped :)

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John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon.
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Answers

Answer:

D. I think

Step-by-step explanation:

It depends on how much the t-shirt costs and from there you can test it out and take away 20$ and 20% and compare which has the lowest price

Each space in the following grid can be filled in with integers. The product of each row and column is displayed in blue. Solve the puzzle. ( need this answered before 11:59 am )

Answers

Answer:

5  1  3

2 16 0

2  1  9

Number of paperclips in my hand is it a dependent or independent variables?

Answers

Answer:

Independent

Step-by-step explanation:

5/7 of the teaching staff at St Therese's Upper basic school are females. What fraction of the staff are males?

Answers

Answer:

2/7 of the staff are males

Step-by-step explanation:

This is because 5/7 - 7/7 + 2/7 thus gives you 2/7 male teachers

Joseph typed a 36- word paragraph in 2/3 minute. What is his typing speed in words per minute?

Answers

Answer:

It is 54.

Step-by-step explanation:

You divide 36 by 2/3.

Suppose that $2000 is invested at a rate of 3.2%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 3 years. Round to the nearest cent. (please no links)

Answers

i got 2198.2 hope to his helps :)
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