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,
- state the stretch/compression factor and the horizontal/vertical translations
- determine whether the graph is reflected m‘ the x—axis
- state the vertex and the equation of the axis of symmetry
\displaystyle
y = (x- 2)^2 + 1
For each quadratic relation,
- state the stretch/compression factor and the horizontal/vertical translations
- determine whether the graph is reflected m‘ the x—axis
- state the vertex and the equation of the axis of symmetry
\displaystyle
y = -\frac{1}{2}(x+ 4)^2
For each quadratic relation,
- state the stretch/compression factor and the horizontal/vertical translations
- determine whether the graph is reflected m‘ the x—axis
- state the vertex and the equation of the axis of symmetry
\displaystyle
y = 2(x+ 1)^2 - 8
For each quadratic relation,
- state the stretch/compression factor and the horizontal/vertical translations
- determine whether the graph is reflected m‘ the x—axis
- 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.