Write an equation of the parabola in vertex form.

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

y =0.25(x-4 )^{2}-1

Step-by-step explanation:

The formula of vertex form is as follows:

Y = a(x-h)^2+k

h = the x value for the vertex (in this case it is 4)

k = the y value for the vertex (in this case it is -1)

If you input these into the equation you are left with:

Y = a(x-4)^2-1

To find 'a' I just entered this equation into the Desmos calculator and messed around with the value until the y-intercept was (8,3)

I hope this was able to help! ^_^

45

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17