Transforming and Analyzing Linear Functions

Which equation is the parent linear function?

• y = x

• y = mx + b

• y - y₁ = m (x - x₁)

• Ax + By = C

Which graph below represents the parent linear function?

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What is the slope of the parent function y = x?

• 0

• 1

• 2

• 3

What is the y-intercept of the parent function y = x?

• 0

• 1

• 2

• 3

How is the function g(x) = x - 3 transformed from the parent function f(x) = x?

• Steeper by a factor of 3

• Less steep by a factor of 3

• Down 3

• Up 3

How is the function g(x) = x + 2 transformed from the parent function f(x) = x?

• Steeper by a factor of 2

• Less steep by a factor of 2

• Down 2

• Up 2

How is the function g(x) = 4x transformed from the parent function f(x) = x?

• Steeper by a factor of 4

• Less steep by a factor of 4

• Down 4

• Up 4

• Steeper by a factor of 1/4

• Less steep by a factor of 1/4

• Down 1/4

• Up 1/4

• Steeper by a factor of 2

• Less steep by a factor of 2

• Down 4

• Up 4

• Steeper by a factor of 1/2

• Less steep by a factor of 1/2

• Down 4

• Up 4