Exploration Quadratic Graphs

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What is another name for the x-intercepts and solutions of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

What is the domain and the range for the graph?

• Domain : -2 ≤ x ≤ 2
  Range : 0 ≤ y ≤ 4

• Domain : 0 ≤ x ≤ 4
  Range : -2 ≤ y ≤ 2

• Domain : All real #s
  Range : y ≤ 4

• Domain : -2 ≤ x ≤ 2
  Range : y ≤ 4

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

What is the vertex of the given parabola?

• (1, 2)

• x = 2

• (2, 1)

• (0, -4)

What are the solutions to the given quadratic equation?

• (0, -1), (0, 3)

• (1, 4)

• x = 1

• (- 1, 0), (3, 0)

Does this parabola have a maximum or minimum and what is it's value?

• minimum, -3

• minimum, 5

• maximum, - 3

• maximum, 5

What is the value of ab in the given parabola f(x) = - 8x² + 10 + 2? hint: f(x) = ax² + bx + c 😎

• - 18

• - 16

• - 80

• 20

What is the axis of symmetry of the given quadratic graph?

• (0, -2)

• (- 2, 0)

• x = - 2

• (0, 2)

What is the value of c ÷ a given the parabola y = 2x² + 12x + 18? hint: y = ax² + bx + c

• 9

• 36

• 6

• 3/2