Sketch the graph of each equation by correctly applying the required transformation(s) to points on the graph of y = x^2. State the transformation mapping.

\displaystyle y = 2x^2

Sketch the graph of each equation by correctly applying the required transformation(s) to points on the graph of y = x^2. Use a separate grid for each graph.

\displaystyle y =-0.25x^2

Sketch the graph of each equation by correctly applying the required transformation(s) to points on the graph of y = x^2. Use a separate grid for each graph.

\displaystyle y =-3x^2

Sketch the graph of each equation by correctly applying the required transformation(s) to points on the graph of y = x^2. Use a separate grid for each graph.

\displaystyle y = \frac{2}{3}x^2

Describe the transformation(s) that were applied to the graph of y = x^2 to obtain the graph not labelled y = x^2. Write the equation of the black graph.

Describe the transformation(s) that were applied to the graph of y = x^2 to obtain the graph not labelled y = x^2. Write the equation of the black graph.

Determine the values of h and k for each ofthe following transformations. Write the equation in the form y = (x - b)^2 + k. Sketch the graph.

The parabola moves 3 units down and 2 units right.

Determine the values of h and k for each ofthe following transformations. Write the equation in the form y = (x - b)^2 + k. Sketch the graph.

The parabola moves 4 units left and 6 units up.

Describe the transformations in order that you would apply to the graph of y = x^2 to sketch each quadratic relation.

\displaystyle y = -3(x - 1)^2

Describe the transformations in order that you would apply to the graph of y = x^2 to sketch each quadratic relation.

\displaystyle y = \frac{1}{2}(x + 3)^2 - 8

Describe the transformations in order that you would apply to the graph of y = x^2 to sketch each quadratic relation.

\displaystyle y = 4(x -2)^2 - 5

Describe the transformations in order that you would apply to the graph of y = x^2 to sketch each quadratic relation.

\displaystyle y = \frac{2}{3}x^2 -1

Sketch the graphs below.

\displaystyle y = \frac{1}{2}(x + 3)^2 - 8

Sketch the graphs below.

\displaystyle y = 4(x -2)^2 - 5

Sketch the graphs below.

\displaystyle y = 4(x -2)^2 - 5

Sketch the graphs below.

\displaystyle y = \frac{2}{3}x^2 -1

For each quadratic relation,

1. state the stretch/compression factor and the horizontal/vertical translations
2. determine whether the graph is reflected m‘ the x—axis
3. state the vertex and the equation of the axis of symmetry

\displaystyle y = (x- 2)^2 + 1

For each quadratic relation,

1. state the stretch/compression factor and the horizontal/vertical translations
2. determine whether the graph is reflected m‘ the x—axis
3. state the vertex and the equation of the axis of symmetry

\displaystyle y = -\frac{1}{2}(x+ 4)^2

For each quadratic relation,

1. state the stretch/compression factor and the horizontal/vertical translations
2. determine whether the graph is reflected m‘ the x—axis
3. state the vertex and the equation of the axis of symmetry

\displaystyle y = 2(x+ 1)^2 - 8

For each quadratic relation,

1. state the stretch/compression factor and the horizontal/vertical translations
2. determine whether the graph is reflected m‘ the x—axis
3. state the vertex and the equation of the axis of symmetry

\displaystyle y = -0.25x^2 + 5

A parabola lies in only two quadrants. What does this tell you about the values of a, h and k. Explain your thinking, and provide the equation of a parabola as an example.