The y-intercept of a parabola is 1, and its vertex is at (1,0). what function does the graph represent

f(x) = (x − 1)2

Step-by-step explanation:

  Equation of function,   y = (x-1)²

Step-by-step explanation:

The general formula of a parabola symmetric about x - axis is given by (x-h)²=4a(y-k), where (h,k) is the vertex.

Here (h, k) = (1,0)

So, we have (x-1)²=4a(y-0)

                    (x-1)²=4ay

One point on the parabola is (0,1) since y intercept is 1.

Substituting

         (0-1)²=4 x a x 1

           1 = 4 a

Equation of parabola,

Equation of function,   y = (x-1)²

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64