In Exercises 5–8, the graph of a quadratic function is given. Write the function’s equation, selecting from the following options: f ( x ) = x 2 + 2 x + 1 , g ( x ) = x 2 − 2 x + 1 , h ( x ) = x 2 − 1 , j ( x ) = − x 2 − 1.
In Exercises 5–8, the graph of a quadratic function is given. Write the function’s equation, selecting from the following options: f ( x ) = x 2 + 2 x + 1 , g ( x ) = x 2 − 2 x + 1 , h ( x ) = x 2 − 1 , j ( x ) = − x 2 − 1.
Solution Summary: The author explains that the quadratic function's standard form is f(x,k)=ax2+bx+c and the vertex of the parabola
In Exercises 13-14, find the domain of each function.
13. f(x) 3 (х +2)(х — 2)
14. g(x)
(х + 2)(х — 2)
In Exercises 15–22, let
f(x) = x? – 3x + 8 and g(x) = -2x – 5.
Exercises 65–70: Find the maximum y-value on the graph
of y = f(x).
65. flx) = -x² + 3x – 2 66. f(x) = -x² + 4x + 5
67. f(x) = 5x – x?
68. fx) = -2x² – 2x – 5
69. f(x) = 2x – 3x2
70. f(x) = -4x² + 6x – 9
In Exercises 47–50, determine the x-intercepts of the graph of
each quadratic function. Then match the function with its graph,
labeled (a)-(d). Each graph is shown in a [-10, 10, 1]
by [-10, 10, 1] viewing rectangle.
47. у 3D х2 -бх + 8
48. y = x? – 2r – 8
49. y = x² + 6x + 8
50. y = x² + 2x – 8
а.
b.
C.
d.
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Interpreting Graphs of Quadratic Equations (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=BHgewRcuoRM;License: Standard YouTube License, CC-BY
Solve a Trig Equation in Quadratic Form Using the Quadratic Formula (Cosine, 4 Solutions); Author: Mathispower4u;https://www.youtube.com/watch?v=N6jw_i74AVQ;License: Standard YouTube License, CC-BY