Hello!
Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
Answer:
2√11
Step-by-step explanation:
The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:
h² = 6² +8² = 100
The length of x is given by that same theorem:
h² +x² = 12²
x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value
x = √44 . . . . . . . . take the square root
x = 2√11 . . . . . . . simplify the root
The number of water stations there are along the 13 1/2 miles long road race according to the task content is; Choice C; 18 water stations.
<h3>What is the number of water stations along the road race?</h3>
It follows from the task content that the number of water stations can be determined as follows;
13 1/2 ÷ 3/4
= 27/2 × 4/3
= 18 water stations.
Read more on fraction division;
brainly.com/question/407943
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272155
I hope I helped, good luck
Answer:
22
Step-by-step explanation:
94-6 divided by 4
