Question

What are the x- and y-intercepts of the graph of y = 2x2 + 4x - 6?

a. x-intercepts: (1, 0) and (-3, 0)
y-intercept: (0, -3)
b. x-intercepts: (1, 0) and (-3, 0)
y-intercept: (0, -6)
c. x-intercepts: (-1, 0) and (3, 0)
y-intercept: (0, -3)
d. x-intercepts: (-1, 0) and (3, 0)
y-intercept: (0, -6)

Answer 1

Plug in 0 in y to get the x intercept, and then plug in 0 in x to get the y intercept.

Answer 2

b

Answer 3

y=2(0)^2 +4(0) - 6
y= 0 +0-6
y=-6
(0,-6)

and

0=2x^2 +4x -6
0= 2x^2-2x +6x -6
0= 2x(x-1)+6(x-1)
0= (2x+6)(x-1)
x=-3 or x=1
so,
(-3,0) or (1,0)