Question

find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (0,175).

Answer 1

can anyone help quick?

Answer 2

@djones3507

To find the x value of the vertex, use -b/2a, so our first equation is:

-b/2a = 6

To find the y value of the vertex, substitute the x value from -b/2a into the quadratic formula. Remember, we already know c the c value (the y intercept) with is 175, so our second equation is

a(6²) + b(6) + 175 = -5

Solve for b in the second equation in terms of a:

b = -6a - 30

Substitute into our first equation:

6a + 30/2a = 6

6a + 30 = 12a

6a = 30

a = 5

Now, we use the second equation to find our b value

b = -6(5) - 30

b = -60

This means our quadratic is :

5x² - 60x + 175 = 0

This simplifies to

x² - 12x + 35 = 0

Factor as:

(x - 7)(x - 5) = 0

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

Answer 3

:))