![albattatasraap5wymy](/avatars/29909.jpg)
albattatasraap5wymy
23.10.2020 •
Mathematics
Find the value of line segment xy bisects wxz and m zxy = 41
Solved
Show answers
More tips
- F Food and Cooking How to Properly Wash a Down Jacket? Tips from Experts...
- C Computers and Internet Thin Client: What It Is and Why You Need It?...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics Given a circle with two points on that circle the same distance from the center: point A is at (-4,5) and point B is at (6,5): 1) What is the measure of segment AB? 2) What is the...
- M Mathematics 2 Point Which of the following statements must be true about this diagramn? Check all that apply A m23 is greater than mz2 B.m24 is greater than m22 C. The degree measure of 23...
- M Mathematics In circle Y, wha is m 1...
- M Mathematics Can anyone help with this?...
- M Mathematics which of the following best describes a single fixed point that is the same distance from the parabola as the directrix is from the parabola...
- M Mathematics 6482647+739638=72836y(5396-(-628333)=xPlease help 50 points...
- M Mathematics Given that StartFraction A B Over D E EndFraction = StartFraction B C Over E F EndFraction = one-half, complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem....
- M Mathematics Given circle A and line BC congruent to line CD, What is mBC...
- M Mathematics Can someone help me with this ?...
- M Mathematics Área 84 inches width is 5 inches less than length...
Ответ:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.