Quadratic Functions Unit Day 5 Write equation of a quadratic from point, graph, intercepts, or vertex
Wehrle 1
Quadratic Functions Unit Day 5 Write equation of a quadratic from point, graph, intercepts, or vertex
Quadratic Functions Unit:
Write Quadratic Functions
Objective: Write a quadratic function in vertex or intercept form when given the vertex and a point on the parabola.
If you are given a picture or information of a quadratic that includes the vertex and one other point, use the vertex form to come up with an equation.
Ex 1. Wehrle 2
Quadratic Functions Unit Day 5 Write equation of a quadratic from point, graph, intercepts, or vertex
Ex 2. Given: vertex (4,­5) and passes through (2,­1)
If you are given a picture or information of a quad that
includes x­intercepts, then you would use intercept form.
Ex. 3
Wehrle 3
Quadratic Functions Unit Day 5 Write equation of a quadratic from point, graph, intercepts, or vertex
Ex. 4 Given: x­intercepts ­2, 5 and passes through (6,2)
5. What is the new quadratic if the function y=x2 undergoes the following transformations: Vertical reflection over the x­axis Vertical stretch by a factor of 2 Vertical shift up 3 Horizontal shift left 1
6. What is the new quadratic if the function y=x2 undergoes the following transformations: Vertical reflection over the x­axis Vertical shrink by a factor of 1/2 Vertical shift up 2 Horizontal shift right 5
Wehrle 4
Quadratic Functions Unit Day 5 Write equation of a quadratic from point, graph, intercepts, or vertex
7.What is the new quadratic if the function y=x2 undergoes the following transformations: Vertical stretch by a factor of 3
Vertical shift down 4
Horizontal shift left 8
8. What is the new quadratic if the function y=x2 undergoes the following transformations:
Vertical shrink by a factor of 2/3
Vertical shift down 2
Assignment: Worksheet 5
***Quiz Wednesday***
Wehrle 5