Not the best pic but I think it’s still readable.. pls answer for all.. thanks
1 answer:
Answer:
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Step-by-step explanation:
b: vertical stretch or compression and reflection across x-axis
a: horizontal stretch or compression and reflection across y-axis
h: horizontal shift (left and right)
k: vertical shift (up and down)
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
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ANSWER
EXPLANATION
The expressions are
and
The greatest common factor is the product the least powers of the common factors.
The equation to derive the distance d is . The lengths of the other legs of the given triangle are (y2 - y1) and (x2 - x1).
Consider the two points (x1, y1) and (x2, y2)
The formula used for calculating the distance between the two points is
distance =
Given that,
The triangle in the graph has vertices (x1, y1), (x2, y2), and (x2, y1)
Since this triangle makes 90°, it is a right-angled triangle.
Hypotenuse = (x1, y1) to (x2, y2), Adjacent = (x1, y1) to (x2,y1), and Opposite = (x2, y1) to (x2, y2).
Consider the length of the hypotenuse = d
So, using the distance formula, the length of the hypotenuse(d) is,
And the lengths of the other two legs of the given triangle are,
Length of the adjacent side: (x1, y1) to (x2,y1)
=
=
=
Length of the opposite side: (x2, y1) to (x2, y2)
=
=
=
Therefore, the derived distances for the given triangle are:
, (x2 - x1), and (y2 - y1).
Learn more about the distance between two points here:
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