SOLUTION: What is the x-intercept of a parabola with the vertex (-1,80) and the y intercept (0,75)

Algebra.Com
Question 698729: What is the x-intercept of a parabola with the vertex (-1,80) and the y intercept (0,75)
Answer by Positive_EV(69)   (Show Source): You can put this solution on YOUR website!
Since this parabola has only one y-intercept, it must open either up or down. A parabola that opens up or down can be written in the form . In this form, the vertex is (h, k). So to start, plug in those values:



To find a, plug the point of the y-intercept into this equation:





You can find the x-intercepts (there will be two of them) by setting y = 0 and solving for x:



or
So x = 3 or x = -5. The x-intercepts are thus (3,0) and (-5,0).

RELATED QUESTIONS

find the x-intercept of a parabola with a vertex (-1,2) and y-intercept... (answered by Gogonati)
Find the x intercepts of the parabola with vertex (1,-13) and y intercept... (answered by lwsshak3)
what is the x intercepts of a parabola with a vertex of (-1,-17) and a y intercept of... (answered by josgarithmetic)
Find the X-intercept of the parabola with vertex (-1,-108) and y-intercept of... (answered by ewatrrr,Edwin McCravy)
find the x-intercepts of the parabola with the vertex (1,-13) and a y-intercept... (answered by solver91311)
Find the x-intercept of the parabola with vertex (4,75) and y-intercept (0,27) write your (answered by MathLover1)
What is the x-intercept with the vertex(1,-17)and... (answered by lwsshak3)
Find the x-intercepts of the parabola with vertex of (-4,2) and y-intercept (0,-30). (answered by josmiceli)
Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept... (answered by ewatrrr)