Quadratic Graphs: Roots, Intercepts & Turning Points (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet: read the roots, y-intercept and turning point off drawn quadratic graphs. Every answer computed, every graph code-drawn.
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Grade 10 · Math worksheet
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Math
Quadratic Graphs: Roots, Intercepts & Turning Points
Read each drawn quadratic graph: the roots are where the curve crosses the x-axis, the y-intercept is where it crosses the y-axis, and the turning point is its lowest (or highest) point. For the unplotted equations, use the sign of the x^2 term for the shape and the constant term for the y-intercept.
- 1.The graph of y = + 4x - 5 is shown. Use the graph to write down (a) the roots of + 4x - 5 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 2.The graph of y = - 6x + 5 is shown. Use the graph to write down (a) the roots of - 6x + 5 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 3.The graph of y = + 4x + 3 is shown. Use the graph to write down (a) the roots of + 4x + 3 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 4.The graph of y = - 2x - 8 is shown. Use the graph to write down (a) the roots of - 2x - 8 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 5.The graph of y = - - 6x - 8 is shown. Use the graph to write down (a) the roots of - - 6x - 8 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 6.The graph of y = - + 4x + 5 is shown. Use the graph to write down (a) the roots of - + 4x + 5 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 7.Without plotting it, state whether the graph of y = + 5x - 7 opens upward (a "u" shape) or downward (an "n" shape), and write down the coordinates of its y-intercept.
- 8.Without plotting it, state whether the graph of y = + 3x - 5 opens upward (a "u" shape) or downward (an "n" shape), and write down the coordinates of its y-intercept.
- 9.Without plotting it, state whether the graph of y = - - 2x - 9 opens upward (a "u" shape) or downward (an "n" shape), and write down the coordinates of its y-intercept.
- 10.Without plotting it, state whether the graph of y = - + x + 6 opens upward (a "u" shape) or downward (an "n" shape), and write down the coordinates of its y-intercept.
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