  # nomial and Rational Functions22. Concept Check A quadratic function f(x) has vertex (0, 0), and all of its interceptsare the same point. What is the general form of its equation?Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range.Then determine (e) the largest open interval of the domain over which the functionis increasing and (f) the largest open interval over which the function is decreasing.See Examples 1-423. f(x) = (x - 2)224. f(x) (x + 4)225. f(x) = (x + 3)2 - 426. f(x) (x - 5)2 - 41127. f(x) (x + 1)2 - 328. f(x)3(x - 2)2 +129. f(x) = x2- 2x + 330. f(x) = x2 +6x + 531. f(x)= x2 - 10x + 2132. f(x) 2x2- 4x + 5133. f(x)=-2x2- 12x- 1634. f(x)=-3x224x 46535. f(x)= 2-2x2-3x-36. f(x)x2333Concept Check The figure shows the graph of a quadraticfunction y f (x). Use it to answer each question.y1'y = f(37. What is the minimum value of f(x)?38. For what value of x is f(x) as small as possible?3(-3, 3)39. How many real solutions are there to the equationf(x) = 1?+-340. How many real solutions are there to the equationf(x) = 4?Concept Check Several graphs of the quadratic functionf(x) = ax2 + bx + c++- |C

Question help_outlineImage Transcriptionclosenomial and Rational Functions 22. Concept Check A quadratic function f(x) has vertex (0, 0), and all of its intercepts are the same point. What is the general form of its equation? Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing. See Examples 1-4 23. f(x) = (x - 2)2 24. f(x) (x + 4)2 25. f(x) = (x + 3)2 - 4 26. f(x) (x - 5)2 - 4 11 27. f(x) (x + 1)2 - 3 28. f(x)3(x - 2)2 +1 29. f(x) = x2- 2x + 3 30. f(x) = x2 +6x + 5 31. f(x)= x2 - 10x + 21 32. f(x) 2x2- 4x + 5 1 33. f(x)=-2x2- 12x- 16 34. f(x)=-3x224x 46 5 35. f(x)= 2- 2 x2-3x- 36. f(x) x2 3 3 3 Concept Check The figure shows the graph of a quadratic function y f (x). Use it to answer each question. y 1 'y = f( 37. What is the minimum value of f(x)? 38. For what value of x is f(x) as small as possible? 3 (-3, 3) 39. How many real solutions are there to the equation f(x) = 1? + -3 40. How many real solutions are there to the equation f(x) = 4? Concept Check Several graphs of the quadratic function f(x) = ax2 + bx + c ++ - |C fullscreen
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Step 1

Hey, since there are multiple sub-parts posted, we will answer first three question. If you want any specific subpart to be answered then please submit that question only or specify the question number in your message.

The graph for the given function is shown in the below figure.

Step 2

(a) Vertex of the quadratic function.

From above figure, the graph of the quadratic function only has the minimum vertex.

Step 3

(b) Axis of the quadratic function.

From above figure, the point (0, 5) is inte...

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