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In this lesson, we will learn how to graph cubic functions given in vertex form.

Q1:

Which of the following graphs represents π ( π₯ ) = 2 β ( π₯ β 5 ) 3 ?

Q2:

Find the equation for the graph.

Q3:

Find the function shown in the figure.

Q4:

Consider the graph of the function π¦ = ( π₯ + 2 ) β 2 ο© .

Write down the coordinates of the point of symmetry of the graph, if it exists.

Q5:

The given figure shows the graph of π ( π₯ ) = π₯ β 4 π₯ + 1 3 2 .

Use the graph to determine the number of solutions to the equation π₯ = 4 π₯ β 1 3 2 .

Use the graph to determine the intervals in which the solutions to π₯ = 4 π₯ β 1 3 2 lie.

Q6:

Which of the following is the graph of π ( π₯ ) = β ( π₯ β 2 ) 3 ?

Q7:

Karim starts with and has a graph that satisfies . He sees that the function will have a graph that also has -intercept 1.

What is the value of that gives the graph in ?

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