8.5 D1 Intercept/Factor Form

​8.5 D1: Intercept/Factor Form

​Learning Target

Multiple Choice

Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?

$$1.23w=t\ \ \ \ \ 1.01x=t\ \ \ \ \ \ 0.99y=t\ \ \ \ \ \ 0.23z=t$$

• w

• x

• y

• z

• Cannot be determined from the given information

Intercept or Factor Form

​Steps

​1. Set the equation equals to 0
2. Factor the polynomial
3. Solve for x
4. Find AOS
5. Find y-value of the vertex
6. Graph the vertex

​Example 1: Graphing the Quadratic Function

​Eq. in intercept form: _____________

X-intercept: _________________

Axis of symmetry: _______________

Vertex: _________________

y-intercept: _______________

Graphing

Graph: $$h\left(x\right)=x^2-2x-3$$

​Example 2: Graph

Graphing

Graph: $$h\left(x\right)=x\left(x-4\right)$$

Graphing

Graph: $$h\left(x\right)=x^2+2x-8$$