An exponential function is shown below. h(x) = 5(10)x–2 + 6

The graph of f(x) = 10x and h(x) = 5(10)x–2 + 6 are shown below

Analyze the effects on the graph of f(x) = 10x that result from the parameter changes in the function, h(x) = 5(10)x–2 + 6. Explain how each transformation appears in the equation and its effect on the original function, f(x) = 10x. Be sure to use mathematical language in your explanation.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

correct answer is b. 27/8

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

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