Graphing Quadratics with Intercepts

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Objective

I can graph a quadratic function by finding and plotting the x- and y-intercepts.

Part 1 of 4

Warm-up video

Kayla Jones · 3:05

We don't generate video — this one is by Kayla Jones on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    To find the y-intercept of the quadratic equation, we plug in 0 for x and solve for y.

  2. 2

    To find the x-intercepts, we plug in 0 for y, then factor the quadratic equation and use the zero product property.

  3. 3

    After finding the x- and y-intercepts, we plot the points and draw a U-shaped graph to represent the quadratic function.

Part 3 of 4

Practice

11 questions

1

What value do you substitute for 'x' to find the y-intercept of a quadratic equation?

2

What value do you substitute for 'y' to find the x-intercept(s) of a quadratic equation?

Part 4 of 4

Exit ticket

Quick comprehension check

Given the quadratic equation y = x² + 4x + 3, find the x-intercepts and the y-intercept. Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

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