Quadratic Equation from X Intercept and Two Points

Determine the x-intercepts for the following quadratic equation using the Null Factor Law. As a whole number or decimal, the x-intercepts are at​ ​ ​ (a)   and ​ (b)   (Answers must be entered in order from smallest to largest, otherwise it will be marked incorrect. As an example, x-intercepts of 3 and -2 would need to be entered so that -2 is first and 3 is second.)

• 2

• 0.5

• -3

• 3

• 1

• -1

• 2.5

• -2.5

• -2

• -0.5

Answer explanation

Tags

CCSS.HSF-IF.C.7A

• 0.67

• -5

• 5

• 1.5

• -1.5

• 2.5

• -2.5

• -0.67

• 3

• -3

Answer explanation

Tags

CCSS.HSF-IF.C.7A

Answer explanation

To sketch a quadratic equation, you must work out the:

• - y-intercept

• - x-intercept(s)

• - turning point coordinates

See the steps taken in the photo as an example.

Tags

CCSS.HSF-IF.C.7A

Answer explanation

Drag the dots on to the y-intercept and turning point of the quadratic equation.

To calculate the y-intercept, let x=0 and solve.

To calculate the turning point coordinates:

1. 1. You will need to use the quadratic formula to calculate the two x-intercepts

2. 2. Use these x-intercepts to find the x-coordinate of the turning point.

3. 3. Substitute this x-coordinate into the quadratic equation (for x) to find the y-coordinate of the turning point.

Tags

CCSS.HSF-IF.C.7A

Answer explanation

Drag the dots on to the y-intercept and turning point of the quadratic equation.

To calculate the y-intercept, let x=0 and solve.

To calculate the turning point coordinates:

1. 1. You will need to use the quadratic formula to calculate the two x-intercepts

2. 2. Use these x-intercepts to find the x-coordinate of the turning point.

3. 3. Substitute this x-coordinate into the quadratic equation (for x) to find the y-coordinate of the turning point.

Tags

CCSS.HSF-IF.C.7A

• 
• 
• 

Answer explanation

To sketch a quadratic equation, you must work out the:

• - y-intercept

• - x-intercept(s)

• - turning point coordinates

See the steps taken in the photo as an example.

Tags

CCSS.HSF-IF.C.7A

• one x-intercept

• zero x-intercepts

• three x-intercepts

• two x-intercepts

Tags

CCSS.HSA-REI.B.4B

• one x-intercept

• two x-intercepts

• three x-intercepts

• no x-intercepts

Tags

CCSS.HSA-REI.B.4B

Use the discriminant formula to determine the number of x-intercepts for the following equation.

• one x-intercept

• two x-intercepts

• three x-intercepts

• no x-intercepts

Tags

CCSS.HSA-REI.B.4B

What are the green points called?

• axis of symmetry

• vertex

• y-intercept

• x-intercepts

Tags

CCSS.HSF-IF.C.7A