Quadratic Graphs: Roots, Intercepts & Turning Points (Year 10)
Free printable UK Year 10 (GCSE Foundation) maths worksheet: read the roots, y-intercept and turning point off drawn quadratic graphs. Every answer computed, every graph code-drawn.
✓ Answer key checked by math, never wrong
Grade 9 · Math worksheet
Name
Date
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 = + 2x - 3 is shown. Use the graph to write down (a) the roots of + 2x - 3 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 2.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.
- 3.The graph of y = - 2x - 3 is shown. Use the graph to write down (a) the roots of - 2x - 3 = 0, (b) the coordinates of the y-intercept, and (c) the coordinates of the turning point.
- 4.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.
- 5.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.
- 6.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.
- 7.Without plotting it, state whether the graph of y = - x + 9 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 = - x - 6 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 - 1 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 = - + 2x + 7 opens upward (a "u" shape) or downward (an "n" shape), and write down the coordinates of its y-intercept.
Made with ChalkBee · chalkbee.com