Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x- intercepts (if they exist).
y = 6x2 - 15x + 6
a. (0.5, 0); (2,0)
c. (-0.5, 0); (-2, 0)
b. (-0.5, 0); (2,0)
d. (0.5, 0); (-2, 0)

Given:

The quadratic equation is

To find:

The x-intercepts of the given equation.

Solution:

We have,

Splitting the middle term, we get

For x-intercepts, y=0.

Using zero product property, we get

So, the x-intercepts are (0.5,0) and (2,0).

Therefore, the correct option is a.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.