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Functions and Graphs Flashcards

6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Functions and Graphs flashcards as text

  1. What transformation does y = f(x) + 3 represent?

    Answer: Shift 3 units up

    Adding a constant outside the function shifts the graph vertically upward by 3 units.

  2. Which function graphs as a straight line?

    Answer: f(x) = 2x + 1

    f(x) = 2x + 1 is a linear function and graphs as a straight line.

  3. If f(x) = x² + 1 and g(x) = 2x, what is (f ∘ g)(3)?

    Answer: 37

    g(3) = 6; then f(6) = 36 + 1 = 37.

  4. A negative leading coefficient on a quadratic function:

    Answer: Makes it open downward

    A negative leading coefficient reflects the parabola over the x-axis so it opens downward.

  5. What is the inverse of f(x) = 2x + 6?

    Answer: f⁻¹(x) = (x - 6)/2

    Swap x and y: x = 2y + 6, then solve for y: y = (x - 6)/2.

  6. An even function satisfies:

    Answer: f(-x) = f(x)

    An even function satisfies f(-x) = f(x), meaning it is symmetric about the y-axis.