Mark today as the turning point in your graphicular comprehension with these quadratic graphs questions!

Quadratic graphs can be really tough to get your head around – there are so many tricky areas. Use this diagnostic quiz to see where to start your revision.

Quadratic Graph Questions – Test Yourself with this Diagnostic Quiz!

Ready to test your knowledge?

Identify the \(y\)-intercept of the graph with equation \(y = (x + 3)(x - 2)\).

(0, -3)

(0, 2)

(0, -6)

(0, 0)

Below is a sketch of the graph with equation \(y=x^2-x-12\). What are the values of \(a\) and \(b\)?

\(a = 2\) and \(b = -6\)

\(a = -2\) and \(b = 6\)

\(a = 3\) and \(b = -4\)

\(a = -3\) and \(b = 4\)

Below is the graph of \(y=x^2-2x-3\). Use the graph to find the roots of \(x^2-2x-3=0\).

\(x=3\) and \(x=-1\)

\(x=4\) and \(x=-2\)

\(x=0\) and \(x=2\)

\(x=-3\)

Below is the graph with equation \(y=x^2-2x-3\). Use the graph to find the turning point of the graph of \(y = x^2-2x-3\).

(-1, -4)

(-1, 4)

(1, -4)

(1, 4)

The graph below shows the curve with equation \(y = x^2 - 2x - 1\). Use the graph to solve \(x^2 - 2x = 3\).

\(x = 0.4\) and \(x = 2.4\)

\(x = -1.2\) and \(x = 3.2\)

\(x = 0\) and \(x = 3\)

\(x = -1\) and \(x = 3\)

Which of the following is the correct graph for the equation \(y = x^2 - 3x + 1\)?

By completing the square, find the coordinates of the turning point of the curve with equation \(y=x^2+2x+5\).

(-2, 1)

(2, 1)

(-2, 4)

(-1, 4)

Which of these is the graph with equation \(y = x^2 - 3x + 2\)?

By completing the square, find the coordinates of the turning point of the graph with equation \(y = 2x^2 + 4x - 7\).

(1, -5)

(-1, -9)

(-1, -11)

(1, -6)

The graph below shows the line with equation \(y = x^2 - 2x - 1\). Use the graph to solve \(x^2 - x - 2 = 0\)

\(x = 0.4\) and \(x = 2.4\)

\(x = 0\) and \(x = 2\)

\(x = 0\) and \(x = 3\)

\(x = -1\) and \(x = 2\)

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