Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7). f(x)=

Answer:

y=5(x-3)^2+2

Step-by-step explanation:

You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.

The required function is [tex]f(x)=5(x-3)^2+2[/tex].

Important information:

The vertex form of a quadratic function is:

[tex]f(x)=a(x-h)^2+k[/tex]

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is vertex.

Substitute [tex]h=3,k=2[/tex].

[tex]f(x)=a(x-3)^2+2[/tex]         ...(i)

The graph passes through the point (4,7). Substitute [tex]x=4, f(x)=7[/tex] in (i).

[tex]7=a(4-3)^2+2[/tex]

[tex]7=a+2[/tex]

[tex]7-2=a[/tex]

[tex]5=a[/tex]

Substitute [tex]a=5[/tex] in (i).

[tex]f(x)=5(x-3)^2+2[/tex]

Therefore, the required function is [tex]f(x)=5(x-3)^2+2[/tex].

Find out more about 'Quadratic function' here:

https://brainly.com/question/15280010

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Match each equation with a solution from the list of values.
1. 2a=4.6
2. b+2=4.6
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USE THESE LETTERS PROVIDED TO GIVE ME AN ANSWER.
D
G
C
E
F
B
A
DO NOT GIVE ME A LINK TO A WEBSITE AND USE YOUR BRAIN, THE THING THAT KEEPS YOU ALIVE AND ABLE TO EXIST.
STOP GIVING ME THIS WEBSITE; cutt.ly/tz3yDpb
THERE IS A REASON WHY I AM ASKING FOR HELP, NOT ASKING FOR SOMETHING TO DOWNLOAD.

Question asks
There are 11 red balls numbered from 5 to 15 and 11 green balls number from 7 to 17 in a bag. What is the probability of drawing a ball with an even number on it?

Does this check out?
Its for pre-algebra.

what is y
help please

please help asap I will give brainliest!

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IM TIMEDDD HELP!! Which shows a rational number plotted correctly on a number line?
-3.5
-8
-6
4
-4
-2
0
2
21
2
-18
-20
-16
-14
-12
-10
-
1.00
-10
-6
-4
-2
0
4
2.

pls answer god bless you pls no trolls

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Which of these answers SHOW ALL LIKE TERMS?
(MORE THAN ONE CAN BE CORRECT)

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D. All the above

E. 2,3,7

F. x,4x,8x

G. y,7y,3y

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