Quadratic Functions Quiz

What is the general form of a quadratic function?

• y = mx + b

• y = ax^2 + bx + c

• y = x^3

• y = 1/x

What does aaa control in a quadratic graph?

• Position

• Shape and direction

• Intercepts

• Scale only

What happens when aaa is negative?

• Opens upward

• Opens downward

• Becomes linear

• No change

Identify the vertex of y = (x - 2)^2 + 3

• (0, 0)

• (2, 3)

• (-2, 3)

• (3, 2)

What is the y-intercept of y = x^2 + 4?

• (4, 0)

• (0, 4)

• (1, 4)

• (0, -4)

How does increasing aaa affect the graph?

• Makes it wider

• Makes it narrower

• Moves it left

• Moves it down

Which function opens downward and is narrow?

• y = x^2

• y = -2x^2

• y = x^2 + 3

• y = (x - 1)^2

What is the axis of symmetry of y = (x - 3)^2?

• x = 0

• x = 3

• y = 3

• y = 0

Which transformation shifts a graph upward?

• y = (x - 2)^2

• y = x^2 + 3

• y = 2x^2

• y = -x^2

Explain how the values of a, b, and c affect the graph of a quadratic function.