Quadratics Review Graphs

Name the Axis of Symmetry

• x = 1

• x = 0

Answer explanation

The correct answer is x = 0 because the axis of symmetry for a parabola in the form of y = ax^2 + bx + c is x = -b/2a. In this case, x = 0.

Tags

CCSS.HSF-IF.C.7A

Draw a negative parabola.

Answer explanation

Which of the following represents the standard form of a quadratic equation?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = ax³ + bx² + cx + d

• y = mx + b

Answer explanation

The standard form of a quadratic equation is y = ax^2 + bx + c, which is represented by the first answer choice.

Which of the following is the vertex form of a quadratic equation?

• y = ax² + bx + c

• y = a(x - h)² + k

• y = ax³ + bx² + cx + d

• y = mx + b

Answer explanation

The vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h,k) is the vertex point.

What is the minimum point of the graph?

• (−1,−4)

• (1,−4)

• (−1,4)

• (−4,1)

Answer explanation

The minimum point of the graph is (1,-4) as it is the lowest point on the graph, indicating the minimum value of the function.

Tags

CCSS.HSF-IF.C.7A

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2
  Range: -3 ≤ y ≤ 5

• Domain: All real number
  Range: -3 ≤ y ≤ 5

• Domain: All real numbers
  Range: y ≥ -3

• Domain: All real number
  Range: y ≤ -3

Review: Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Review: What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

Review: Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Tags

CCSS.HSF-IF.C.7A

Review: Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

Tags

CCSS.HSF-IF.C.7A