Find the x-intercepts of the parabola with
vertex (6,-5) and y-intercept (0,175).
write your answer in this form: (x1,,42).
if necessary, round to the nearest hundredth.
enter the correct answer.

The x-intercepts are (5,0) and (7,0)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(6,-5)

substitute

Find the coefficient a

with the y-intercept (0,175) substitute the value of x and the value of y in the equation

For x=0, y=175

substitute

Find the x-intercepts

Remember that the x-intercepts are the values of x when the value of y is equal to zero

For y=0

simplify

square root both sides

therefore

The x-intercepts are (5,0) and (7,0)