How is the graph of y =(x-1)2 - 3 transformed to produce the graph of y = 5(X+4)??
1 answer:
Answer:
<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>Step-by-step explanation:
The initial function is
The transformed function is
Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.
Therefore, the right answer is the first choice.
You might be interested in
By using the information given on the graph, we can see that a = 3.
<h3>How to find the value of a?</h3>
Here we have an exponential of the form:
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
From the first equation we get that p = 4, replacing that on the second one we get:
So we conclude that a = 3.
If you want to learn more about exponential equations:
#SPJ1