1. mr-mathematics.com Recapping: Properties of quadratic graphs
Match the graph with the equation
ANS
𝑦= (𝑥−1) 2
𝑦= 𝑥 2 −3
𝑦= 𝑥 2
𝑦= 𝑥 2 +2
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2. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
Plot the graph of y = x3
Use the graph to solve the equations
a) 5 = x3
b) -6 = x3
c) y = 1.53
ANS
ANS
ANS
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3. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
Plot the graph of y = x3 - 5
Use the graph to solve the equation
a) 1 = x3 - 5
b) -7 = x3 - 5
c) y = (-1.5)3 - 5
ANS
ANS
ANS
mr-mathematics.com

4. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
Plot the graph of y = x3 – 3x2 within the
range -2 ≤ x ≤ 4.
Use the graph to solve the equation
a) -1.5 = x3 – 3x2
b) 8 = x3 – 3x2
ANS
ANS
mr-mathematics.com

5. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
ANS
a) Complete the table of results for y = x3 – 4x
ANS
b) On the grid, draw the graph of
y = x3 – 4x from x = -3 to x = 3.
c) Use your graph to solve the equation
2 = x3 – 4x .
mr-mathematics.com

6. mr-mathematics.com Recapping: Properties of quadratic graphs
Match the graph with the equation
𝑦= 𝑥 2
𝑦= 𝑥 2 +2
𝑦= (𝑥−1) 2
𝑦= 𝑥 2 −3
Go Back
mr-mathematics.com

7. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
y = 5
5 = x3
x ≈ 1.7
y = x3
Go Back
mr-mathematics.com

8. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
-6 = x3
x ≈ -1.8
y = x3
y = -6
Go Back
mr-mathematics.com

9. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
x = 1.5
y = 1.53
y ≈ 3.4
y = x3
Go Back
mr-mathematics.com

10. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
y = 1
1 = x3 – 5
x ≈ 1.8
y = x3 - 5
Go Back
mr-mathematics.com

11. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
y = x3 - 5
-7 = x3 – 5
x ≈ -1.3
y = -7
Go Back
mr-mathematics.com

12. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
y = x3 - 5
y = (-1.5)3 - 5
y ≈ -8.4
x = -1.5
Go Back
mr-mathematics.com

13. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
-1.5 = x3 – 3x2
x ≈ - 0.6,
Go Back
mr-mathematics.com

14. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
8 = x3 – 3x2
x ≈ 3.6
Go Back
mr-mathematics.com

15. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
Go Back
mr-mathematics.com

16. mr-mathematics.com Cubic Graphs
Learning Objective: Plot a cubic equation on a Cartesian axis using a table of results.
2 = x3 – 4x
x ≈ -1.7, x ≈ -0.5, x ≈ 2.2
y = x3 – 4x
y = 2
Go Back
mr-mathematics.com