Linear Transformations to Linear Parent Function

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

If we transform the linear parent function by a factor of 3, reflect it, and translate it down 2, what would the new equation be?

Mathematical Equivalence

ON

f(x) = x

• Constant

• Linear

• Quadratic

• Absolute Value

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

• Reflect over the x-axis, vertical stretch by 0.2, translate up 1

• Reflect over the x-axis, vertical compression by 0.2, translate up 1

• Reflect over the y-axis, vertical stretch by 0.2, translate up 1

• Reflect over the y-axis, vertical compression by 0.2, translate up 1

Which transformation will occur if f(x) = x is replaced with 2f(x)?

​ (a)   ​ (b)   by a factor of ​ (c)  

• vertical

• horizontal

• stretch

• compression

• translation

• 2

• 1/2

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

Tags

A.FGR.2