SOLUTION: Find the x intercept of the parabola with the vertex -3,-14 and y intercept 0,13

Algebra ->  Inequalities -> SOLUTION: Find the x intercept of the parabola with the vertex -3,-14 and y intercept 0,13      Log On


   

Question 977639: Find the x intercept of the parabola with the vertex -3,-14 and y intercept 0,13
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-%28-3%29%29%5E2%2B%28-14%29 Direct use of standard form.

y=a%28x%2B3%29%5E2-14
a%28x%2B3%29%5E2=y%2B14
a=%28y%2B14%29%2F%28x%2B3%29%5E2

Use the given (0,13).
a=%2813%2B14%29%2F%280%2B3%29%5E2
a=27%2F9
a=3

Solve this for x:
y=3%28x%2B3%29%5E2-14=0