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Answer:
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- <u>Number line with marks on y = 2 and y = -2. See the first graph attached.</u>
Explanation:
- 4 = y² is an equation that yields two values of y.
Then, its graph consists of two points on the number line;
That is, the graph istwo points that show the solutions, one point on the mark y = 2 and the other on the mark y = -2.
This is a one dimensional graph: just two points on the number line.
See the first graph attahed.
I will also talk you about the function 4x = y², just in case the question is mssing the variable x.
The graph of 4x = y² is a horizontal parabola, i.e. it symmetry axis is parallel to the x-axis.
The standard form of the equation of a horizontal parabola is:
With p ≠ 0.
The point with coordinates (h,k) is the vertex.
The point with coordinates (h + p, k) is the focus.
The line x = h - p is the directrix.
The axis of symmetry is the line y = k.
Positive values of p (p > 0) means the parabola opens to the right, and negative values of p (p < 0), means the parabola opens to the left.
4x = y² means:
- h = 0, k = 0, 4p = 4 ⇒ p = 1.
Then:
- vertex (0,0)
- focus (0,0)
- directrix: line x = 0 - 1 = - 1
- axis of symmetry: line y = 0
- it opens to the right.
With that, you can understand the second graph attached.
