F(x)=2x is transformed to g(x)=5⋅2x . How was the graph affected?

shifted up by 5 units

shifted down by 5 units

stretched by a factor of 5 units

compressed by a factor of 5 units

The exponential function f(x) = 2x−1+4
is shifted up 2 units and right 3 units. What is the new equation of the transformed graph g(x)

?

g(x)=2x−4+6

g(x)=2x+1+7

g(x)=2x−3+7

g(x)=2x+2+6

step-by-step explanation: 4 cause 2+2=4

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

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