Find intercepts from factored form (Zero product Property)

Front

What are x-intercepts?

Back

The x-intercepts are the points where the graph of a function crosses the x-axis, meaning the value of y is zero.

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you find x-intercepts from a factored equation?

Back

Set each factor equal to zero and solve for x.

Tags

CCSS.HSF-IF.C.7C

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, meaning the value of x is zero.

Front

Given the equation y=(x+2)(x-1), what are the x-intercepts?

Back

The x-intercepts are x = -2 and x = 1.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

If (x + 2)(x - 3) = 0, what are the solutions for x?

Back

x = -2 and x = 3.

Tags

CCSS.HSA-REI.B.4B

Front

What is the factored form of a quadratic equation?

Back

The factored form is expressed as y = a(x - p)(x - q), where p and q are the roots of the equation.

Front

How do you determine the y-intercept from a factored equation?

Back

Substitute x = 0 into the equation and solve for y.

Front

What is the y-intercept for y = (x + 8)(x + 2)?

Back

The y-intercept is (0, 16).

Tags

CCSS.HSF-IF.C.7A

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola that opens upwards or downwards.

Tags

CCSS.HSF-IF.C.7A