Q4:
The function is stretched in the horizontal direction by a scale factor of . Write, in terms of , the equation of the transformed function.
Q5:
The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .
Q6:
Daniel thinks that he can map the graph of the function to the graph of any other linear function by a translation followed by a stretch. This is equivalent to saying that any linear function can be written in the form for suitable values of and .
Is he right?
Suppose that and is as before. Find and in terms of and when it is possible to write in the form .
Let and . Find the values of and for which . Use the following graph to help you.
Q7:
Graphs and in the diagram are the graphs of square root functions. They are symmetric about the origin. The equation of graph is . Knowing that a point reflection about the origin is equivalent to a reflection in the -axis followed by a reflection in the -axis, find the equation of graph .
Q8:
Consider the function given by .
Which of the graphs in the given diagram is the reflection of the graph of in the -axis?
Write its equation.
Q9:
Consider the function given by .
Which of the graphs in the given diagram is the reflection of the graph of in the -axis?
Write its equation.
Q10:
Consider the function .
Which of the following is the graph of ?
State the domain and range of .
Q11:
The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .
Q12:
The red graph in the figure has equation and the black graph has equation . Express as a transformation of .
Q13:
This is the graph of .
Which of the following is the graph of ?
Q14:
The figure shows the graph of and point . Point is a local maximum. Identify the corresponding local maximum for the transformation .
Q15:
Consider the function .
Which of the graphs shown in the given diagram is the reflection of in the -axis?
Write its equation.
Q16:
The figure shows the graph of and point , which is a local maximum. Identify the corresponding local maximum for the transformation .