Transforming Other Parent Graphs

Factor completely: -15{x}^2 +5x-20

Factor the following quadratic expression:

Factor completely: 16{x^2}-81

Factor completely: {x^3}+64

Rewrite the quadratic equation y=(x-3)(x+2) in standard form by multiplying it out.

Rewrite the quadratic equation y=2{x^2} -2x-24 in intercept form by factoring.

Rewrite the quadratic equation y=3{x}^2-18x+4 in vertex form by completing the square.

Rewrite the quadratic equation y=(x+5)(x-1) in vertex form by multiplying it out to standard form first and then completing the square.

Sketch the graph of the parabola defined by y=-2(x+3)(x-5).

Sketch the graph of the parabola defined by the equation y=3{x}^2+6x-1

Sketch the graph of the parabola given by the equation y=\frac{1}{2}{(x+2)}^2-4

Sketch the graph of the curve given by the equation y=3{x}^3-2

Explain the transformation that occurs to the parent graph for the curve defined by

Select all that apply to describe the transformation of the parent function given the equation of the curve

Given the function shown in the graph, sketch the transformation of the function given by the equation

Given the graph of f(x) shown and the function f(x)=\sqrt x sketch the transformed curved defined by y=-f(x+1)

Sketch the graph of the function given by f(x)=\frac{1}{x-3} +2

Josue uses a quadratic equation to represent the profits of his company. Which form of the quadratic (intercept, standard, or vertex) would be the easiest version for him to find his maximum profit? How would you explain this to Josue?

Briefly describe the advantages of the other two forms of the quadratic equation.