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Question

2 years ago

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1 answer:

olga55 [171] · Answer 1 · 2022-07-27T02:53:05+03:00

Answer:

f(x) = -(x-3)^2 + 4

Step-by-step explanation:

(h; k) are the coordinates of the vertex.

On the graph are (3, 4), therefore we have:

f(x) = a(x-3)^2 + 4

We have the x- intercept (1,0) -> x=1; y=0.

Substitute them into the equation:

0 = a(1 - 3)^2 + 4

0 = a(-2)^2 + 4

4a + 4 = 0 | -4

4a = -4 |-4

a = -1

So, we have the answer:

f(x) = -(x-3)^2 + 4