Understanding Quadratic Functions and Their Properties

Which of the following equations shows the standard form of a quadratic function?

• ax + by = c

• f(x) = a(x - h)² + k

• f(x) = ax² + bx + c

• f(x) = mx + b

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• true

• false

Tags

CCSS.HSA.REI.B.4

The parabola y = x² - 2x + 4

• will have a minimum vertex.

• will have a maximum vertex.

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The formula for the axis of symmetry line is x = -b/(2a)

• true

• false

If the "a" value is positive, which direction does the graph open?

• up

• down

• left

• right

If the "a" value is negative, which direction does the parabola open?

• up

• down

• left

• right

What is the arrow pointing at? How can you use this value?

• The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum 

• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry

• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

• The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Which best describes the vertex of a parabola?

• Any point on the parabola.

• A point on the x-axis.

• The highest or lowest point of a parabola

• A point on the y-axis.