Question

What is the equation of the following graph in vertex form?

A) y = (x - 1)^2
B) y = (x - 1)^2 + 1
C) y = (x + 1)^2 - 1
D) y = (x + 1)^2​

Answer 1

D) y = (x+1)^2

Explanation:

Given the graph, the y-intercept is 1, and the x-intercept is -1. Only equation that works is D:

When we plug in x=-1:

y=(-1+1)^2

y=0

This is shown on the graph

When we plug in y=1:

1=(x+1)^2

1=x+1

0=x

x=0

This shows up on the graph