Match Equations to Curves

This worksheet is about matching curves to equations.

Example

Match the curve with its equation:

y = x³ −2      OR    y = x³ +x²      OR     y = x² - 2

Answer

Look at the curve.  It has a cubic shape so will definitely have an x³ in the equation.

Then look at what happens when x = 0.  

It passes through (0,0), so the equation cannot be y = x³ −2

The equation is  y = x³ +x²

(check that this passes through (-1, 0). When x = -1, y = -1 + 1 = 0