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4. Describe the following graph completely a. Where is the vertex of the parabola? b. Is there a line of symmetry? If so, draw it in. c. Are there any x-intercepts? If so, name them. d. Are there any y-intercepts?
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Apr 11, 2021
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4. Describe the following graph completely
a. Where is the vertex of the parabola?
b. Is there a line of symmetry? If so, draw it in.
c. Are there any x-intercepts? If so, name them. d. Are there any y-intercepts? If so, name them.
Mathematics
high-school
Muthan
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Muthan
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a. The
vertex is at (2,1)
which is the highest point of the parabola. This applies to any parabola where it forms a hill like this.
b. The
line of symmetry is x = 2. It is the vertical line through the vertex
. The line of symmetry cuts the parabola into two equal halves (one half mirrors over the line to get the other half).
c.
The x intercepts are x = 1 and x = 3
, which is where the parabola crosses the x axis. More specifically the locations are (1,0) and (3,0).
d. The y intercept is where the graph crosses the vertical y axis.
The y intercept is -3
, so its location is (0,-3). A function can only have one y intercept.
Amitd
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Apr 16, 2021
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Amitd
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