Writing an Equation from a DescriptionIn Exercises 39–46, write an equation for thefunction whose graph is described.39. The shape of f(x) = x2, but shifted three units to theright and seven units down40. The shape of f(x) = x2, but shifted two units to the left,nine units up, and then reflected in the x-axis41. The shape of f(x) = x3, but shifted 13 units to the right42. The shape of f(x) = x3, but shifted six units to the left,six units down, and then reflected in the y-axis43. The shape of f(x) = ∣x∣, but shifted 12 units up andthen reflected in the x-axis44. The shape of f(x) = ∣x∣, but shifted four units to the leftand eight units down45. The shape of f(x) = √x, but shifted six units to the leftand then reflected in both the x-axis and the y-axis46. The shape of f(x) = √x, but shifted nine units downand then reflected in both the x-axis and the y-axis
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The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Writing an Equation from a Description
In Exercises 39–46, write an equation for the
function whose graph is described.
39. The shape of f(x) = x2, but shifted three units to the
right and seven units down
40. The shape of f(x) = x2, but shifted two units to the left,
nine units up, and then reflected in the x-axis
41. The shape of f(x) = x3, but shifted 13 units to the right
42. The shape of f(x) = x3, but shifted six units to the left,
six units down, and then reflected in the y-axis
43. The shape of f(x) = ∣x∣, but shifted 12 units up and
then reflected in the x-axis
44. The shape of f(x) = ∣x∣, but shifted four units to the left
and eight units down
45. The shape of f(x) = √x, but shifted six units to the left
and then reflected in both the x-axis and the y-axis
46. The shape of f(x) = √x, but shifted nine units down
and then reflected in both the x-axis and the y-axis
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