Phil drove for 5 hours at 65 miles per hour. How far did he drive if d=rt?
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Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the parent and the translated function are given, respectively, by:
- g(x) = x².
- f(x) = (x - 2)² + 3.
The translations are as follows:
- Right two units, as x -> x - 2.
- Up 3 units, because f(x) = g(x) + 3.
Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
x = 2
Step-by-step explanation:
For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a).
Here, we have a=2, b=-8, so the axis of symmetry is ...
x = -b/(2a) = -(-8)/(2(2)) = 8/4
x = 2
