The vertex of a quadratic function is (2, -1) and its y-intercept is 7. Find the function,

Question

asked Sep 9, 2023 16.2k views

1 Answer

Dacopenhagen · Answer 1 · 2023-09-15T18:30:43+0000

Given:-

$\text{vertex}=(2,-1),y-intercept=7$

To find:-

The function.

So the formula is,

$y=a\mleft(x-h\mright)^(2)+k$

So substituting we get,

So the value. we get,

$\begin{gathered} y=7(x-2)^2-1 \\ y=7(x^2-4x+4)-1 \end{gathered}$

Since the value of x is,

$\begin{gathered} y=7x^2-28x+28-1 \\ y=7x^2-28x+27 \end{gathered}$

So the value,