What are the x-intercepts of the parabola? graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2 a (4.5, 0) and (5, 0) b (0, 4.5) and (0, 5) c (0, 5) and (0, 4) d (5, 0) and (4, 0)
What are the x-intercepts of the parabola? graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2
a (4.5, 0) and (5, 0)
b (0, 4.5) and (0, 5)
c (0, 5) and (0, 4)
d (5, 0) and (4, 0)
ANSWER:
a
(4.5, 0) and (5, 0)
EXPLANATION:
The x-intercept of the parabola represents the point where the parabola graph intersects the x-axis. In other words, these are the x values where the y coordinate is 0.
Using the information given, we can observe that the parabola falls from the left, passes through the point (3, 2), reaches the minimum point, then rises to the right and passes through the point (6, 2) .
Since the parabola intersects the x-axis at the x-intercept, we can conclude that the x-intercept is the point where the y-coordinate is 0. In this case, x values of 4.5 and 5 will have a y coordinate of zero. So the x-intercepts of the parabola are (4,5,0) and (5,0).
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