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Match Equations to Curves

In this worksheet, students match equations to the given curve.

'Match Equations to Curves' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Recognise, Sketch and Interpret Graphs of Linear/Quadratic/Cubic/Reciprocal Functions

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

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

Choose the correct equation for the given curve:

y = x3 −2

y = 1 + 3
x

y = x3 + x2

Choose the correct equation for the given curve:

y = 1 + 3
x

y = x2 −2

y = 1 + 1
x

Choose the correct equation for the given curve:

y = x3 −2

y = x2 −2

y = x3 −3

Choose the correct equation for the given curve:

y = x3 + 4x2

y = x2 −2

y = x3 −3

Choose the correct equation for the given curve:

y = x3 −2

y = x3 + 1

y = x3 −3

Choose the correct equation for the given curve:

y = x3 + x2

y = x2 −2

y = x3 −3

Choose the correct equation for the given curve:

y = x3 + 1

y = x2 −2

y = x3 −3

Choose the correct equation for the given curve:

y = x3 + 1

y = x2 −2

y = x3 −2

Choose the correct equation for the given curve:

y = x3 + x2

y = x2 −2

y = x3 −2

Choose the correct equation for the given curve:

y = x3 + 2

y = x3 + 2x2

y = x3 −2

  • Question 1

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + x2
EDDIE SAYS
This is a cubic that passes through the origin and (-1, 0).
  • Question 2

Choose the correct equation for the given curve:

CORRECT ANSWER
y = 1 + 1
x
EDDIE SAYS
This is a hyperbolic that passes through (1, 2)
  • Question 3

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 −2
EDDIE SAYS
This is a cubic that passes through (0, -2).
  • Question 4

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + 4x2
EDDIE SAYS
This is a cubic that passes through the origin.
  • Question 5

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + 1
EDDIE SAYS
This is a cubic that passes through (0, 1).
  • Question 6

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + x2
EDDIE SAYS
This is a cubic that passes through (0, 0).
  • Question 7

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + 1
EDDIE SAYS
This is a cubic that passes through (0, 1).
  • Question 8

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 −2
EDDIE SAYS
This is a cubic that passes through (0, -2).
  • Question 9

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + x2
EDDIE SAYS
This is a cubic that passes through (0, 0).
  • Question 10

Choose the correct equation for the given curve:

CORRECT ANSWER
y = x3 + 2x2
EDDIE SAYS
This is a cubic that passes through (0, 0) and (-2, 0).
---- OR ----

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