Conceptual Quadratics

Define Roots, Zeros, X-intercept, and Solutions

• Where the parabola touches or interests the x-axis

• Where the parabola touches or interests the y-axis

What is the vertex of the graph?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Name the x-intercept(s)?

• (0, 0)
• (2, 4)
• (0, 0) and (0, 4)
• (0, 0) and (4, 0)

Does this graph have a maximum or a minimum?

• maximum

• minimum

• neither

• both

Does this graph have a maximum or a minimum?

• max

• min

• both

• neither

What is the range of the function shown?

• x < -1

• all real numbers

• y ≥ -1

• y ≤ -1

What is the vertex of the following equation?

f(x) = x² - 6x + 13

• (6, 3)

• (3, 13)

• (2, 8)

• (3, 4)

Does the following equation have a maximum or a minimum?

f(x) = -3x² +2x + 5?

• Maximum

• Minimum

• both

• neither

What is the vertex of the following equation?

f(x) = 4x² - 8x - 6

• (1, -10)

• (1, 0)

• (10, 0)

• (-5, 2)

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry

• Line