Graphing Quadratic Functions

Which equation below is quadratic?

• y = 9x + 5

• y = -3x² + x + 7

• y = 5x³ + 2x - 6

• y = 2x⁴ + 9x

Identify the vertex:

• (2, 4)

• (3, -1)

• (0, 8)

• (4, 2)

• (3, 1)

Which of the following is NOT a point on the parabola?

y = 2x² + 5x - 7

• (0, -7)

• (1, 0)

• (-1, -14)

• (-2, -9)

Identify the x-intercepts (zeros):

• x = 0 and x = - 4

• x = 0 and x = 4

• y = 0

• x = 2

Identify the axis of symmetry...

• y = 3

• x = 3

• x = 5

• x = 1

Which equation represents a quadratic function with a maximum value?

• y = x² + 3

• y = 2x² - 11

• y = -3x + x²

• y = -4x² - 5

The graph of the quadratic equation opens __________.

y = 7 - 3x²

• up

• down

Always, sometimes, or never:
The domain of a quadratic function is __________ all real numbers

• always
• sometimes
• never

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y = x² + 2x - 3

• Minimum value, because the "c" value is negative
• Maximum value, because the "b" value is positive
• Maximum value, because the "a" value is positive
• Minimum value, because the "a" value is positive

For quadratic functions in standard form:

y = ax² + bx + c, a ≠ ____.

• 1

• 0

• -1

• 2