Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Answer:
Side is 8 meters, Perimeter is 32 meters
Step-by-step explanation:
<em>One side </em>
Squares have 4 equal sides. Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:
a=s^2
We know the area is 64, so we can substitute that in
64=s^2
Take the square root of both sides

8=s
One side is 8 meters
<em>Perimeter</em>
Squares have 4 equal sides, and the perimeter is all the sides added up.
p=s+s+s+s
We know the side is 8, so we can substitute that in
p=8+8+8+8
p=4*8
p= 32
The perimeter is 32 meters
Answer:
Parallel: extending in the same direction, everywhere equidistant.
Perpendicular: ar an angle of 90 to a givin line, plane or surface.