IF X=3 WHAT IS Y?
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Answer:
Consider the relationship given by y = x2
. This is not a linear relationship because x is raised to the power 2. First, we complete a table of values.
Table of values
x
−3 −2 −1 0 1 2 3
y=x2
9 4 1 0 1 4 9
We then plot the corresponding points and join them with a smooth curve to obtain the
[make the graph]
This graph is called a parabola. The point (0, 0) is called the vertex or turning point of the parabola. The vertex corresponds to the minimum value of y, since x2
is positive except when x = 0.
The graph is symmetrical about the y-axis. This line is called the axis of symmetry.