Unmasking the Mystery

For the basic function f(x) = x, the transformed function y = f(x) + D shows a ​ (a)   translation of the function. For D > 0, the resulting graph shifts ​ (b)   . For D < 0, the resulting graph shifts ​ (c)   . The basic function and the resulting graph are parallel because they have the same ​ (d)   but different ​ (e)   .

• Vertical
• Up
• Down
• Slope
• Y-intercept

The transformed function y= A⋅f(x) shows a vertical dilation of the function. For |A| > 1, the resulting graph ​ (a)   . For 0 < |A| < 1, the resulting graph ​ (b)   . For A < 0, the resulting graph is vertically stretched or compressed and is reflected across the ​ (c)   .

• Stretches
• Compresses
• x-axis
• y-axis

The graph shows the linear function f(x) = x and four transformations of f(x).

Match each transformed graph to one of the transformations in the table.

• g(x) = ________

• ƒ(x) + 8

• h(x) = ________

• ⅓⋅ƒ(x)

• k(x) = ________

• 2⋅ƒ(x)

• j(x) = ________

• ƒ(x) - 7

Given ƒ(x) = x, where we have the points (-1, -1) and (1,1).

Graph the points for x values -1 and 1 for the function r(x) = ƒ(x) + 5.

Describe the transformation performed on f(x) to produce r(x).

Identify the slope and y – intercept of the function r(x). How does the slope and y – intercept compare to the function f(x).

Write the equation for the function r(x) in general form.

Mathematical Equivalence

ON

Write the equation of a line parallel to the line y=2x that passes through the given point (0,4).

Mathematical Equivalence

ON

Write the equation of a line parallel to the line y=2x that passes through the given point (-2,-1).

Mathematical Equivalence

ON

Write the equation of a line parallel to the line y=2x that passes through the given point (2,0).

Mathematical Equivalence

ON