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NBT Mathematics: Functions and Graphs Flashcards

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

Read the first 7 NBT Mathematics: Functions and Graphs flashcards as text

  1. The line y = mx + c has gradient −3 and passes through (1, 2). What is the equation?

    Answer: y = −3x + 5

    Using y − 2 = −3(x − 1): y = −3x + 3 + 2 = −3x + 5.

  2. A parabola has equation y = 2x² − 8x + 6. The axis of symmetry is:

    Answer: x = 2

    Axis of symmetry: x = −b/(2a) = 8/(2×2) = 2.

  3. The graph of f(x) = 2^x is reflected in the y-axis. What is the equation of the reflected graph?

    Answer: f(x) = 2^(−x)

    Reflection in y-axis replaces x with −x: f(x) = 2^(−x).

  4. On a graph, f(x) is a straight line that is neither increasing nor decreasing. Which type of function is this?

    Answer: Constant function

    A horizontal line represents a constant function where the output is the same for all x.

  5. Which function has an asymptote at y = 2?

    Answer: f(x) = 3^x + 2

    Exponential functions of the form a^x + c have horizontal asymptote y = c; here y = 2.

  6. The function f(x) = −x² + 4. For what values of x is f(x) > 0?

    Answer: −2 < x < 2

    −x² + 4 > 0 → x² < 4 → −2 < x < 2.

  7. A graph shows y = f(x) with f(0) = 3, f(1) = 6, f(2) = 12. What type of function is this?

    Answer: Exponential

    Each x-increase of 1 doubles y (×2), indicating exponential growth f(x) = 3 · 2^x.