The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement that defines relation between two variables.
The f(x) = (x+7)²
The equation for g(x) is ?
graph of function f of x open upward and has its vertex at (-7,0).
Graph of function g of x opens upward and has its vertex at (-7,2).
g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)
Therefore the equation of the function is
g(x)=(x+7)² -2
Therefore , the translation is a shift of the function f(x) 2 units down
Option D is the correct answer.
To know more about Function
brainly.com/question/12431044
#SPJ1
In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
<u><em>Answer:</em></u>
The intersection point is (-4,-19)
<u><em>Explanation:</em></u>
<u>The two given equations are:</u>
y = 5x + 1
y = 2x - 11
<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>
<u>This is done as follows:</u>
5x + 1 = 2x - 11
5x - 2x = -11 - 1
3x = - 12
x = -4
<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>
<u>Using the first equation:</u>
y = 5x + 1 = 5(-4) + 1 = -19
<u>Check using the second equation:</u>
y = 2x - 11 = 2(-4) - 11 = -19 ................? checked
<u>Therefore:</u>
The intersection point between the two given equations is (-4,-19)
Hope this helps :)
