Answer:
y-intercept = (0,0)
x-intercepts (0,0), (-2, 0)
Explanation:
For y-intercept
If you think about a graph, when does the graph intercept/hit y. What is your value for x. Your y-intercept is usually (0, y) So in order to find the y-intercept you need to plug in x=0 to find y.
Equation:
y=16x²+32x substitute x=0
y=16(0)²+32(0)
y=0
y-intercept = (0,0)
For x-intercept
When you have an x intercept it looks like (x, 0), so you must solve for x when y=0
Because this is a quadratic equation(parabola), you will get 2 x-intercepts.
y=16x²+32x
0=16x²+32x > In order to solver for x, you must factor but in this case
you can take out the greatest common factor (GCF) =16x
0=16x(x +2) >Typically when you factor you get 2 parentheses and set
each parenthesis equal to 0, but instead we've pulled
an x on the outside. When there is an x outside you set
the outside equal to 0 as well as the parenthesis to
solve for x.
16x = 0 (x+2)=0
x=0 x= -2
x-intercepts (0,0), (-2, 0)