f(x) = x2 − 4x + 5 (a) Express f in standard form. f(x) =       (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex     (x, y) =               x-intercept     (x, y) =               y-intercept     (x, y) =               (c) Sketch a graph of f. Selection Tool Line Ray Segment Circle Vertical Parabola Horizontal Parabola Point No Solution Help   -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 Clear Graph Delete Layer Fill WebAssign Graphing Tool Graph LayersToggle Open/Closed After you add an object to the graph you can use Graph Layers to view and edit its properties.   (d) Find the domain and range of f. (Enter your answers using interval notation.) domain           range

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

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.