What is the NAME and GENERAL EQUATION for the parent function below?

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Presentation transcript:

What is the NAME and GENERAL EQUATION for the parent function below? Identity Function 𝑓 𝑥 =𝑥

For the equation below: 1) Name the Parent Function 2) Describe the transformation(s) 𝑦= (𝑥+4) 2 −7 Parent Function: Quadratic Function 2) Describe the transformation(s): a)Translation 4 units to the left b) Translation down 7 units

SOLVE and GRAPH the linear inequality below. 𝑦−8≤𝑥−2 𝑦≤𝑥+6 I will complete graph by hand before I make copies!

Write an equation based on the following parent function and transformations. translation down 2 units reflection over the x-axis horizontal stretch by a factor of 3 𝑦=− 3𝑥 −2

Write an equation for the linear inequality below. 𝑦≥2𝑥+6

What is the NAME and GENERAL EQUATION for the parent function below? Constant Function 𝑓 𝑥 =𝑎

SOLVE and GRAPH the linear inequality below. 𝑦+2>𝑥+6 𝑦>𝑥+4 I will complete graph by hand before I make copies!

For the equation below: 1) Name the Parent Function 2) Describe the transformation(s) 𝑦= −𝑥 2 +3 Parent Function: Quadratic Function 2) Describe the transformation(s): a) Reflection over the x-axis b) Translation up 3 units

Write an equation based on the following parent function and transformations. translation left 4 units reflection over the y-axis vertical shrink by a factor of 3 4 𝑦= 3 4 (−𝑥+4) 2

Write an equation for the absolute inequality below. 𝑦≥ 𝑥 +4

For the equation below: 1) Name the Parent Function 2) Describe the transformation(s) 𝑦= 𝑥+1 −3 Parent Function: Absolute Value Function 2) Describe the transformation(s): a)Translation right 1 unit b)Translation down 3 units

SOLVE and GRAPH the absolute value inequality below. 𝑦+3≥ 𝑥−4 +5 𝑦≥ 𝑥−4 +2 I will complete graph by hand before I make copies!

What is the NAME and GENERAL EQUATION for the parent function below? Quadratic Function 𝑓 𝑥 = 𝑥 2

Write an equation based on the following parent function and transformations. translation right 8 units reflection over the x-axis vertical shrink by a factor of 1 2 𝑦=− 1 2 𝑥−8

For the equation below: 1) Name the Parent Function 2) Describe the transformation(s) 𝑦=2 𝑥 +6 Parent Function: Absolute Value Function 2) Describe the transformation(s): a)Vertical stretch by a factor of 2 b)Translation up 6 units

Write an equation for the linear inequality below. 𝑦<−𝑥−1

What is the NAME and GENERAL EQUATION for the parent function below? Absolute Value Function 𝑓 𝑥 = 𝑥

Write an equation for the absolute value inequality below. 𝑦< 𝑥 −1

SOLVE and GRAPH the absolute value inequality below. 𝑦−5< 𝑥+1 −2 𝑦< 𝑥+1 +3 I will complete graph by hand before I make copies!

Write an equation based on the following parent function and transformations. translation up 8 units translation left 2 units horizontal stretch by a factor of 3 𝑦= (3𝑥+2) 2 +8