Algebra Linear Function Transformation

f\left(x\right)=x and g\left(x\right)=2x-4
Which statement about the relationship of these two graphs is true?

• The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

• The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

Let g(x) be the indicated transformation of f(x). Write the rule for g(x). f(x)= 12x + 18, vertical stretch by a factor of 3

• g(x)= 36x + 54

• g(x)= 4x + 6

• g(x)= 36x + 18

• g(x)= 4x + 18

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

• f(x) = 7x + 3

• f(x) = x + 7

• f(x) = 3/2x + 7

• f(x) = 2/3x + 7

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

Compare the function

• Vertical Translation Up 1/3 units

• Vertical Translation Down 1/3 units

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis

What is the parent function

of linear functions?

• y = 2x

• y = mx + b

• f(x) = x

• Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• Shifted right 3 units

• Shifted left 3 units

• Shifted up 3 units

• Less Steep

Compare the function \(w\left(x\right)=\frac{3}{2}x\) to the parent function\(f\left(x\right)=x\)

• Vertical Translation Up 3/2 units

• Vertical Translation Down 3/2 units

• Vertical Stretch by a factor of 3/2

• Vertical Compression by a factor of 3/2

• Reflection over the x-axis