Mid Chapter Review
Chapter
Chapter 5
Section
Mid Chapter Review
Solutions 22 Videos

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 

1.05mins
Q1a

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 

1.05mins
Q1b

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 

1.00mins
Q1c

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 

0.56mins
Q1d

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.

0.37mins
Q2a

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.

0.23mins
Q2b

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.

0.23mins
Q3a

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.

0.28mins
Q3b

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 

0.56mins
Q5a

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 

0.49mins
Q5b

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 

0.36mins
Q5c

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 

0.38mins
Q5d

Sketch the graphs below.

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

1.10mins
Q6a

Sketch the graphs below.

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

1.38mins
Q6b

Sketch the graphs below.

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

1.21mins
Q6c

Sketch the graphs below.

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

1.20mins
Q6d

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 

1.20mins
Q7a

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 

1.56mins
Q7b

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 

1.43mins
Q7c

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.