Graphing Quadratics In Intercept form

Intercept form Intercept form is the factored form of a quadratic When you solve a quadratic by factoring, you have found the x intercepts of the quadratic graph

Changing from intercept form to standard form Foil the two binomials Write in the form ax^2+bx+c=0

Example (2x+3)(x+4)=0

Example (x – 2)(x – 6)=0

You Try (3x + 4)(2x – 3)=0

Changing from standard form to intercept form Factor the quadratic

Example X^2 + 3x + 2 =0

Example 3x^2 – x – 2

You Try 2x^2 +2x – 24

Graphing from intercept form Factor the quadratic Set each factor equal to 0 and solve for your x-intercepts' Plot each x intercept on the graph Find the midpoint between the x intercepts ( this is the x intercept of the vertex) Plug the number found in step 4 into the factored form of the quadratic and solve ( this is the y-intercept of the vertex) Plot the vertex Draw in a U shape graph using the vertex and the x-intercepts

Example 2x^2 +2x – 24 Vertex Domain Range

Example X^2 – 6x – 16 Vertex Domain Range

Example -2x^2 – 10x – 12 Vertex Domain Range

You Try X^2 – x – 6 Vertex Domain Range

Homework Worksheet 1-18