Key Characteristics of a Quadratic Function

What is the vertex of the parabola in the form y = 2(x+3)^2 - 4?

• (-3, -3)

• (-3, -4)

• (-2, -4)

• (-4, -2)

Does the parabola y = -2(x-1)^2 + 5 open upwards or downwards?

• diagonally

• downwards

• sideways

• upwards

• Minimum

• Maximum

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

What are the vertex and axis of symmetry of the parabola f(x) = -x² - 4x + 12?

• Vertex: (-2, 16); Axis of Symmetry: x = -2

• Vertex: (2, 0); Axis of Symmetry: x = 2

• Vertex: (2, 4); Axis of Symmetry: x = 2

• Vertex: (-2, 4); Axis of Symmetry: z = --2

What is the vertex?

• (4,-4)

• (2,0)

• (0,2)

• (6,0)

What is the end behavior of the graph of y = -3x² +7x - 2?

HINT: Type it into desmos and look at the direction of the graph.

• As x increases, f(x) increases

  As x decreases, f(x) decreases

• As x increases, f(x) decreases

  As x decreases, f(x) decreases

• As x increases, f(x) increases

  As x decreases, f(x) increases

• As x increases, f(x) decreases

  As x decreases, f(x) decreases

What is the range of the quadratic function?

• All Real Numbers

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the axis of symmetry?

• x = - 4

• x = - 2

• x = 0

• x = 4