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Features of Quadratic Graphs

Last updated over 3 years ago
11 questions
Let’s continue to practice finding intervals of increase, decrease, positive, and negative when analyzing the characteristics of quadratic functions. Look at the functions below. Can you answer each characteristic with the correct intervals or ordered pairs? You may use Desmos to help you.
1

Over what interval is f(x) increasing?

1

Over what interval is f(x) decreasing?

1

What are the x-intercepts of the function f(x)? (WRITE TWO ORDERED PAIRS)

1

When is f(x) positive?

1

When is f(x) negative?

1

What is the vertex for the function f(x)?

1

Over what interval is f(x) increasing?

1

Over what interval is f(x) decreasing?

1

When is f(x) positive?

1

When is f(x) negative?

1

If you finished the first ten questions, try this

  • My function is only increasing over the interval x > -1.
  • The x-intercepts of my parabola are opposites.
  • Find my function using the clue below:
    f(-1) + f(4) = -11
  • My function's y-intercept and vertex are the same.
  • The range of my function is y ≤ 1.
  • For my function, f(x) is negative when
    x < 0 and x > 2.
  • I have an axis of symmetry of x = -1.
  • My y-intercept is 5
    and my vertex is (-2, 1).
  • The zeros of my parabola are (-6, 0) and (-2, 0).
  • My function is decreasing over the interval (-4, ∞).
  • My function has a vertex that is (0, 0) and an axis of symmetry of x = 0.
  • My minimum is y=1 and
    all the y-values of my function are positive.