Given the function f (x) = 630(.64)x, determine if this function models exponential growth or decay and identify the growth or d
1 answer:
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Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
The formula for the area of a circle is:
Substitute 5 for r:
Square and simplify:
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
Multiply:
Substitute 6 for r for the area formula:
Square and simplify:
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!