Quadratic Function Transformations Worksheet

Quadratic Function Transformations Worksheet - Name a function to describe each graph. Quadratic function with a vertical compression, translated right 4 and up 1 b. Because k = 4, the graph is translated 4 units up. Use the graph of f(x) = x2 as a guide, describe the transformations and then graph each function. The following diagrams show the transformation of quadratic graphs. Transforming quadratic functions worksheet 1. State the domain and range.

Quadratic function with a vertical compression, translated right 4 and up 1 b. A quadratic function is a function that can be written in the form f(x) a(x h)2 k, = − + where a 0. In section 1.1, you graphed quadratic functions using tables of values. Draw the graph for y =

List the transformations in order on the base function !!!=! Quadratic equations transformations worksheet 1: Gx x () ( ) =− + 9 2 The following diagrams show the transformation of quadratic graphs. Write a quadratic equation in vertex form (!=.(#−ℎ)!+0) for each description or graph below. Y = 3x2 + 1 4.

What is the equation of the function? State the transformations that must be done on the quadratic parent function in order to sketch the graph of the given function then sketch the graph without using your calculator. Quadratic function with a vertical compression, translated right 4 and up 1 b. Write a quadratic equation in vertex form (!=.(#−ℎ)!+0) for each description or graph below. In section 1.1, you graphed quadratic functions using tables of values.

For a parabola in vertex form, the coordinates of the vertex are ( h, k). Y = 3 1 (x + 2) 2 + 3 8. Name a function to describe each graph. Because k = 4, the graph is translated 4 units up.

Gx X () = + 2 4 2.

Y = 3(x + 1) 2 7. Draw a graph of the function using key points. What is the equation of the function? In section 1.1, you graphed quadratic functions using tables of values.

Transforming Quadratic Functions Worksheet 1.

First write the quadratic function that is to be transformed. Standard form of a quadratic function is y = ax 2 + bx + c. Linear function with a vertical compression, translated left 4 and up 1 Www.effortlessmath.com quadratic formula and transformations of quadratic functions solve the quadratic equations using quadratic formula.

Quadratic Function With A Vertical Compression, Translated Right 4 And Up 1 B.

Draw the graph for y = x2 + 1 3: Because k = 4, the graph is translated 4 units up. Draw the graph for y = Y = x2 is graphed.

If You Are Struggling With Problems Concerning Quadratic Transformations, We Have Prepared These Free Quadratic Transformations Worksheets For Extra Assistance.

State the domain and range. The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants. Y = 3 1 (x + 2) 2 + 3 8. Y = 3(x + 1) 2 7.

1) 2+2 −8=0 2) 2 5 −6=0 3) 2 2−5 +3=0 4) 2 2− −13=2 5) 2 2− −4=2 Sketch the following transformed functions on graph paper (use success criteria). *remember to use the base form !=#! Quadratic equations transformations worksheet 1: Draw the graph for y = 3x2 4: