Answers:
x intercept = -4
y intercept = 16
The graph is shown below.
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Step-by-step explanation:
To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.
y = x^2 +8x+16
0 = x^2 +8x+16
x^2 +8x+16 = 0
(x+4)^2 = 0
x+4 = 0
x = -4
There's only one x intercept. It's located at the vertex of the parabola.
The location of the x intercept is the point (-4,0)
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To find the y intercept, we plug in x = 0 and compute like so:
y = x^2 +8x+16
y = (0)^2 +8(0)+16
y = 16
The y intercept is 16 which is located at (0,16)
Check out the graph below. It was made using the free app Desmos.