Given f x = 2 x 2 − 12 x + 16 , a. Write the equation in vertex form: f x = a x − h 2 + k . b. Determine whether the parabola opens upward or downward. c. Identify the vertex. d. Identify the x -intercepts. e. Identify the y -intercepts. f. Sketch the function. g. Determine the axis of symmetry. h. Determine the minimum or maximum value of the function. i. State the domain and range.
Given f x = 2 x 2 − 12 x + 16 , a. Write the equation in vertex form: f x = a x − h 2 + k . b. Determine whether the parabola opens upward or downward. c. Identify the vertex. d. Identify the x -intercepts. e. Identify the y -intercepts. f. Sketch the function. g. Determine the axis of symmetry. h. Determine the minimum or maximum value of the function. i. State the domain and range.
Solution Summary: The author calculates the vertex form of the given equation f(x) = 2x+2-12x +16 by calculating the square.
4
In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and
evaluate the integral. Hint: Find the limits on r and s by sketching the area of integration in the (x, y) plane along
with the r and s axes, and then show that the same area can be covered by s from 0 to r and r from 0 to 1.
7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin?
-
5π
6
π
(A) 0, л,
and
6
7π
(B) 0,л,
11π
, and
6
6
π 3π π
(C)
5π
2 2 3
, and
π 3π 2π
(D)
2' 2'3
, and
3
4元
3
1
די
}
I
-2m
3
1
-3
บ
1
#
1
I
3#
3m
8. The graph of g is shown above. Which of the following is an expression for g(x)?
(A) 1+ tan(x)
(B) 1-tan (x)
(C) 1-tan (2x)
(D) 1-tan
+
X
-
9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval
Quiz A: Topic 3.10
Trigonometric Equations and Inequalities
Created by Bryan Passwater
can you solve this question using the right triangle method and explain the steps used along the way
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY