Graphs and Functions

Graphs and Functions Quiz

Spec A8–A16 · AQA GCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. A straight line has equation y = 3x - 5. What is the gradient and y-intercept of this line?

    • A. Gradient = 3, y-intercept = -5
    • B. Gradient = -5, y-intercept = 3
    • C. Gradient = 3, y-intercept = 5
    • D. Gradient = -3, y-intercept = -5

  2. 2. A line passes through the points (1, 4) and (3, 10). What is the gradient of this line?

    • A. 2
    • B. 3
    • C. 4
    • D. 6

  3. 3. Which of the following lines is parallel to y = 4x + 2?

    • A. y = -4x + 2
    • B. y = 4x - 7
    • C. y = 2x + 4
    • D. y = 1/4 x + 2

  4. 4. A quadratic function has roots at x = 2 and x = 6, and a turning point (vertex) at (4, -8). Is this turning point a maximum or minimum, and why?

    • A. Maximum, because the y-coordinate is negative
    • B. Minimum, because it lies between the two roots
    • C. Minimum, because the parabola opens upwards and the roots are either side of the vertex
    • D. Maximum, because the vertex is at the lowest point of the graph

  5. 5. The function f(x) = x² undergoes the transformation f(x - 3) + 2. Which of the following correctly describes the transformation?

    • A. Shift 3 units left and 2 units up
    • B. Shift 3 units right and 2 units up
    • C. Shift 3 units left and 2 units down
    • D. Shift 3 units right and 2 units down

Quiz