Graphs of Quadratics in Standard Form

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSA.APR.B.3

A parabola is upside-down when a is:

• negative

• positive

• 0

• infinite

Tags

CCSS.HSF-IF.C.7A

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)

• (0, 3)

• (-8, -7)

• (0, -7)

Tags

CCSS.HSF-IF.C.7A

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

What is another name for the x-intercepts of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

Tags

CCSS.HSF-IF.C.7C

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

• a = 1

• a = -1

• a = 7

• a = -7

Review: What are the vertex and axis of symmetry for the given graph?

• Vertex (1, -4) Axis of Symmetry: x=1

• Vertex (1, -4) Axis of Symmetry x = -4

• Vertex (-4, 1) Axis of Symmetry x=-4

• Vertex (-4, 1) Axis of Symmetry x = 1