How would you define the traformation "dilation"? what happens to a shape when it is dilated? What changes? what stays the same?
2 answers:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
In the given equation, is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of
. Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-29) and solve for b
Simplify -6 and 2
Add 15 to both sides to isolate b
Therefore, the y-intercept is -14. Plug this back into :
I hope this helps!
The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a parabola equation:
The standard form of the parabola:
(h, k) is the vertex of the parabola and (f, k) is the focus.
h = 1, k =2, and f = -2
The directrix is x = 4
Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.
Learn more about the parabola here:
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