Matching Equations and Graphs
A Grade 10 math worksheet focusing on matching linear and quadratic equations to their corresponding graphs.
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Matching Equations and Graphs
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Date:
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Read each question carefully and follow the instructions to match the given equations with their corresponding graphs or properties.
Match each linear equation with its graph shown below.
1. y = x
2. y = -x
3. y = 1
4. x = -2
1. Which equation represents the graph of a parabola opening upwards with its vertex at the origin?
y = -x^2
y = x^2
y = x + 2
y = |x|
2. The graph of y = (x - 3)^2 + 1 has its vertex at:
(-3, 1)
(3, 1)
(3, -1)
(-3, -1)
1. A linear equation in the form y = mx + b has a y-intercept at and a slope of .
2. The graph of a quadratic equation is called a .
3. If the leading coefficient of a quadratic equation is negative, the parabola opens .
1. The graph of y = 2x + 3 is a straight line with a positive slope.
True
False
2. The graph of y = x^2 - 4 has only one x-intercept.
True
False
1. Describe how the graph of y = x^2 + 5 differs from the graph of y = x^2.
2. Explain how to find the x-intercept(s) of a graph from its equation.