Question

Need help asap please! Which equation matches the graph shown?

Answer 1

It is A. A most closely matches the graph!

A is red, B is blue, C is green, and D is purple!

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

The vertex form of a parabola is

$y=a(x-h)^2+k$          ..... (1)

Where, (h,k) is vertex and a is a constant.

From the given graph it is clear that the vertex of the graph is (3,-7) and y-intercept is (0,2).

Substitute h=3 and k=-7 in equation (1).

$y=a(x-3)^2-7$

The y-intercept is (0,2). So, substitute c=0 and y=2 in the above equation to find the value of a.

$2=a(0-3)^2-7$

$2+7=a(3)^2$

$9=9a$

Divide both sides by 9.

$1=a$

The value of a is 1.

Substitute a=1, h=3 and k=-7 in equation (1).

$y=1(x-3)^2-7$

$y=x^2-6x+9-7$

$y=x^2-6x+2$

The equation of the parabola is $y=x^2-6x+2$.

Therefore the correct option is A.