Question

Determine the equation of the graph shown y = a(x - h)^2 + k

Answer 1

Answer:

$y=-(x+1)^2+4$

Step-by-step explanation:

we know that

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

Is the equation of a vertical parabola written in vertex form

where

(h,k) is the vertex

a is the leading coefficient

In this problem we have

The vertex is the point (-1,4)

so

$(h,k)=(-1,4)$

substitute

$y=a(x+1)^2+4$

Find the value of a

we have the ordered pair (0,3)

substitute the value of x and the value of y in the quadratic equation and solve for a

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

$3=a+4\\a=3-4\\a=-1$

therefore

$y=-(x+1)^2+4$