Graph Quadratic Equations/Key features

Match the following quadratic equations with their correct form.

• Vertex form

• y=(x-p)(x-q)

• Standard form

• y = a(x - h)² + k
• Factored form

• y = ax² + bx + c

What is a axis of symmetry?

• all real numbers

• y=5

• the line that divides the graph in equal halves

• y=mx+b

Tags

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

Identify the y-intercept in the function f(x) = 3x²+5x-8

• (0, -8)

• (0, 3)

• (0, 5)

• (5, 0)

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Tags

CCSS.HSF-IF.C.7A

What do we call the highest or lowest point of a quadratic graph?

(Choose all that apply)

• parabola
• vertex
• graph
• point
• maximum or

  minimum

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots, zeros, solutions, or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the vertex?
f(x) = -x² - 4x + 12

(graph in Desmos)

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Which graph matches the equation y = x² - 4x + 5

(graph the equation in Desmos)

• A
• B
• C
• D

What are the zeros of the graph shown above?

• 2 and 6

• 4 and 2

• 6 and 9

• 5 and 1

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2