Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
The equation of the lines can be plotted on the graph after calculating the coordinates on each line.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two linear equation:
x = 4y
x + y = 7.0
To plot the linear equation first we will find the few coordinates to plot on the coordinate plane.
For the equation of line:
x = 4y
x 0 1 2 3 -1 -2 -3
y 0 4 8 12 -4 -8 -12
For the equation of line:
x + y = 7.0
x 0 1 2 3 -1 -2 -3
y 7 6 5 4 8 9 10
Thus, the equation of the lines can be plotted on the graph after calculating the coordinates on each line.
Learn more about the linear equation here:
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