The solution is, the correct option is f(x) = 5 (x+4)² -2 .
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
As given by the question.
There are given that the equation of current graph:
f(x) = x^2
Now,
According to the question,
There are also given that graph left 4 units, that means
(x+4)²
Then,
Vertical stretching it by a factor of 5 units
So,
The equation will be: f(x) = 5 (x+4)²
Then,
And, shifting the graph down 2 units
So,
f(x) = 5 (x+4)² -2
Hence, the correct option is f(x) = 5 (x+4)² -2.
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Answer:
Step-by-step explanation:
A = 5
B = 1
h = 2
k = -2
Use ABhk
Answer:
The required measure of angle 3 is 60°.
Step-by-step explanation:
We are given to find the measure of angle 3 from the figure if
m∠5 = 130° and m∠4 = 70°.
Let the measure of angle 3 be x°.
From the figure, we note that
angle 5 is an exterior angle and angles 3 and 4 are two remote interior angles of the triangle.
We know that
the measure of an exterior angle to a triangle is equal to the sum of the measures of two remote interior angles.
So, we get
Thus, the required measure of angle 3 is 60°.
The sum of the vectors is (2,1)
A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.
(-1,-4) + (3,5)
( -1+3 , -4+5 )
( 2,1)
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Answer:
Step-by-step explanation:
A. x=-5
B. x=5
C. x= -3/2
D. x=3/2
Answer:
x = 5/3
Step-by-step explanation:
Solve for x:
7 x - 15 = -2 x
Add 2 x to both sides:
7 x + 2 x - 15 = 2 x - 2 x
2 x - 2 x = 0:
7 x + 2 x - 15 = 0
7 x + 2 x = 9 x:
9 x - 15 = 0
Add 15 to both sides:
9 x + (15 - 15) = 15
15 - 15 = 0:
9 x = 15
Divide both sides of 9 x = 15 by 9:
(9 x)/9 = 15/9
9/9 = 1:
x = 15/9
The gcd of 15 and 9 is 3, so 15/9 = (3×5)/(3×3) = 3/3×5/3 = 5/3:
Answer: x = 5/3