Graphs of quadratic functions

Question 1 of 10

The graph of y = (x − 2)² touches the x-axis at x = 2.

Question 2 of 10

Where does the graph of y = x² − x − 20 cut the x-axis?

Question 3 of 10

Where does the graph of y = x² + x − 6 cut the x-axis?

Question 4 of 10

The graph of y = x² + 4 cuts the x-axis at two points.

Question 5 of 10

For y = 3x² − 3x + 5, the value of y when x = 1 is ___.

Question 6 of 10

(a) Copy and complete the table of values for y = x² + x − 6 for −3 ≤ x ≤ 5. (b) Using a suitable scale, draw the graph. (c) From the graph find the roots of the equation x² + x − 6 = 0, the equation of the line of symmetry and the minimum value of y.

Question 7 of 10

The roots of ax² + bx + c = 0 are read from the graph where

Question 8 of 10

y = −x² has a maximum point.

Question 9 of 10

The y-intercept of y = ax² + bx + c is

Question 10 of 10

Where does the graph of y = x² − 2x − 15 cut the x-axis?