Question

What equation could generate the curve in the graph below

Answer 1

A

Explanation:

We know the y intercept is positive so that eliminates choice D.

y = 3x^2 -2x+1

This does not intercept the x axis

y = 3x^2 -6x+3

= 3(x^2 -2x+1)

3(x-1)^2

This intercepts the x axis at 1

This is not the equation for the graph

y = 3x^2 -7x+1

Let x = 1

y = 3-7+1

= -3

This will cross the x axis, so this cannot be the graph