For the unction g ( x ) = 3 x + 2 : Graph g using transformations. State the domain, range, and horizontal asymptote of the graph of g . Determine the end behaviour of the graph. Determine the inverse of g . State the domain, range, and vertical asymptote of the graph of g − 1 . On the same coordinate axes as g , graph g − 1 .
For the unction g ( x ) = 3 x + 2 : Graph g using transformations. State the domain, range, and horizontal asymptote of the graph of g . Determine the end behaviour of the graph. Determine the inverse of g . State the domain, range, and vertical asymptote of the graph of g − 1 . On the same coordinate axes as g , graph g − 1 .
Solution Summary: The author explains the function g(x)=3x+2 by graphing it using transformation.
Let the graph of g be a translation 4 units down and 3 units right, followed by a
horizontal shrink by a factor of of the graph of f(x) : = x².
a. Identify the values of a, h, and k. Write the transformed function in
vertex form.
b. Suppose the horizontal shrink was performed first, followed by the
translations. Identify the values of a, h, and k, and write the transformed
function in vertex form.
Graph f(x) = x2 + 8x + 7 using transformations. Convert to vertex form and describe the transformation from the parent function before graphing. Include all proper labels, a scale, and end behavior on the graph.
Determine whether the given statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement : "If f(x) = x3 and g(x) = -(x - 3)3 - 4, then the graph of gcan be obtained from the graph of f by moving f three units to the right, reflecting about the x-axis, and then moving the resulting graph down four units."
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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