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Graph of transformation of functions on a coordinate plane. Curve A goes through (minus 1, minus 1) and (1, 1). Curve B goes through (minus 1, minus 4), (0, minus 2), and (1, minus 1). Curve C goes through (minus 1, minus 2), (0, 0), and (1, 2).

The parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by graph B and graph C.

Graph B represents the function g(x) =
.

Graph C represents the function h(x) =
.

Select The Correct Answer From Each Dropdown Menu Graph Of Transformation Of Functions On A Coordinate Plane Curve A Goes Through Minus 1 Minus 1 And 1 1 Curve class=

Sagot :

The function g(x) = x³ - 2

The function h(x) = 2x³

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

parent function = x³

As, function is shifted vertically down by 2 units to obtain g(x).

So, g(x) = x³ - 2

function h(x) Horizontally by a factor of 2, to obtain, h(x).

So,  h(x) = 2x³

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