Transforming Linear Functions Algebra 2 2 6 Exploration

Transforming Linear Functions Algebra 2 2 -6

• Exploration on desmos Transforming Linear Functions

Up three Transforming Linear Functions

Down two Transforming Linear Functions

Right three or Down six Transforming Linear Functions

Left two or Up four Transforming Linear Functions

Transforming Linear Functions

Graph the following f 1(x) = 2 x + 3 f 2(x) = -f 1(x) Reflected across the x-axis Transforming Linear Functions

Graph the following f 1(x) = 2 x + 3 f 2(x) = f 1(-x) Reflected across the y-axis Transforming Linear Functions

Graph the following f 1(x) = x+2 f 2(x) = 3(x+2) f 3(x) = -2(x+2) Stretched in y direction Transforming Linear Functions

Graph the following f 1(x) = x+2 f 2(x) = 3(x+2) f 3(x) = -2(x+2) Note how they all cross through y=0 Transforming Linear Functions

Graph the following f 1(x) = x+2 f 2(x) = x/3 +3 f 3(x) = x/(-2) +3 Note how they all cross through x=0 Transforming Linear Functions

Transforming Linear Functions

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) Horizontal translation 3 units right g(x) = 2 x – 9 Horizontal translation 5 units left g(x) = 2 x +7 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) Vertical translation 3 units up g(x) = 2 x Vertical translation 5 units down g(x) = 2 x – 8 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) reflection across the x-axis g(x) = – 2 x + 3 reflection across the y-axis g(x) = – 2 x – 3 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) vertical stretch by a factor of 3 g(x) = 6 x – 9 vertical shrink by a factor of 1/2 g(x) = x – 1. 5 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) horizontal stretch by a factor of 3 g(x) = 2 x/3 – 3 horizontal shrink by a factor of 1/2 g(x) = 4 x – 3 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) Vertical shift up by 5 followed by a horizontal stretch by a factor of 2 horizontal shift left by 4 followed by a reflection in the x-axis g(x) = x + 2 g(x) = – 2 x – 13 Transforming Linear Functions Practice

Let g(x) be the indicated transformation of f(x) = 2 x – 3 Write the rule for g(x) Vertical shift down by 7 followed by a Vertical shrink by a factor of 2 g(x) = x – 5 horizontal shift right by 1 followed by a reflection in the y-axis g(x) = – 2 x – 5 Transforming Linear Functions Practice

• Pages 138 – 140 • 8 – 14, 19, 35 – 38 Homework