If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the new function?
shift 1 unit right.
vertically stretch by a factor of 5
reflect over the x-axis

Step-by-step explanation:

By the way, please use the symbol " ^ " to indicate exponentiation:

f(x) = x^2

Shifted 1 unit to the right, we get g(x) = (x - 1)^2

Vertically stretched by a factor of 5, we get h(x) = 5(x - 1)^2

Reflected over the x-axis:  j(x) = -5(x - 1)^2

The correct option is A.

Step-by-step explanation:

The quadratic parent function is

The translation is defined as

               .... (1)

Where, k is vertical stretch, a is horizontal shift and b is vertical shift.

If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5

Substitute a=-1 and k=5 in equation (1).

Therefore the correct option is A.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

a and c

step-by-step explanation: