If the x-intercepts of a quadratic function are (-4,0) and (4, 0), what is the x-coordinate of the vertex?
1 answer:
9514 1404 393
Answer:
0
Step-by-step explanation:
When two points on a parabola have the same y-value, the line of symmetry is halfway between them. The vertex is on the line of symmetry. Its x-coordinate is ...
(-4 +4)/2 = 0
The x-coordinate of the vertex is 0.
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The graph shows 3 different parabolas with those x-intercepts. They all have vertices with an x-coordinate of 0.
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Answer:
Step-by-step explanation:
We want to simplify:
Recall the Pythagorean Identity:
So:
Substitute:
Factor. We can use the difference of two squares pattern:
Cancel. Hence: