Access the Desmos guide PDF for tips on solving problems with the Desmos graphing calculator.
Activity
For questions 1 - 2, write an equation in vertex form of the quadratic function that has a vertex at (5, 8) and also goes through the point .
Find the value of for vertex form.
Write the equation in vertex form.
Compare your answer:
For questions 3 and 4, write an equation in vertex form of the quadratic function that has a vertex at and also goes through the point .
Find the value of for vertex form.
Write the equation in vertex form.
Compare your answer:
For questions 5 - 6, write an equation in vertex form of the quadratic function that has a vertex at and also goes through the point .
Find the value of for vertex form.
Write the equation in vertex form.
Compare your answer:
Video: Writing an Quadratic Equation from a Vertex and a Point
Watch the following video to learn more about writing a quadratic equation from a vertex and a point.
Self Check
Additional Resources
Creating Vertex Form from a Vertex and a Point
Write the quadratic in vertex form that has a vertex at and goes through the point .
First start with the vertex form of a quadratic function.
Step 1 - Substitute the vertex in at .
Step 2 - Substitute the other point at .
Step 3 - Solve for .
Step 4 - Substitute the value of value and the vertex into the vertex form.
Try it
Try It: Creating Vertex Form from a Vertex and a Point
Write the quadratic in vertex form that has a vertex at and goes through the point .
Compare your answer:
First, start with the vertex form of a quadratic function:
Step 1 - Substitute the vertex at :
Step 2 - Substitute the other point at :
Step 3 - Solve for :
Step 4 - Substitute the value of and the vertex into the vertex form: