Consider the graph of the function f(x)=2^x Which statement describes a key feature of function g if g(x)=f(x-4)

Step-by-step explanation:

Given function:

And the function g(x):

g(x) is the horizontal shift of f(x) 4 units right.

It has a different y-intercept but same asymptote with f(x), which is y = 0 as the exponential function never reaches zero and never negative. Hence option B is incorrect.

The y-intercept of f(x) is (0, 1) but the y-intercept of g(x) is smaller:

So we are left with option A

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.