Concept explainers
Graphing Transformations The graph of
(a)
(c)
(e)
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College Algebra
- Graphing Functions Sketch a graph of the function. Use transformations of function whenever possible. f(x)=12xarrow_forwardLinear Functions A linear functions is described either verbally, numerically, or graphically. Express f in the form f(x)=ax+b .arrow_forwardGraph of f(x)= x(x+4)(x-2) Use Graph for part (b) and (c)arrow_forward
- Functions g, r and s are transformations of the graph of f. Write the equations for g(x), r(x) and s(x) in terms of f(x)arrow_forwardDescribe the transformation of the graph of f that yields the graph of g. f(x) = 2x, g(x) = 2x − 1 The graph of g can be obtained by shifting the graph of f = unit =arrow_forwardFinding f from f′ Sketch the graph of f′(x) = x. Then sketch apossible graph of f. Is more than one graph possible?arrow_forward
- 23–38 ■ Graphing Functions Sketch a graph of the function.Use transformations of functions whenever possible.arrow_forwardGraphing a Piecewise-Defined FunctionSee LarsonPrecalculus.com for an interactive version of this type of example.Sketch the graph of f(x) = { 2x + 3,−x + 4,x ≤ 1x > 1arrow_forwardA function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph f(x)=|x|; shift 8 units to the left and shift downward 7 units. y = f(x) = |x| ; reflect in the x-axis, shift 7 units to the right, and shift upward 4 units y= f(x)=x^ 2 stretch vertically by a factor of 8, shift downward 8 units, and shift 4 units to the right y=arrow_forward
- Graphical Addition Use graphical addition to sketch the graph of f + g.arrow_forwardFinding Equations for Transformations A function f is given, and the indicated transformations are applied to its graph (in the given order). Write an equation for the final transformed graph. f(x)=x2 ; shift 2 units to theleft and reflect in the x-axis.arrow_forward
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