Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
Let 'a' be the point and 'A' be the reflection of point 'a' through line x= -3
we know, (a+A)/2 (mid point of line aA) should lie on line x= -3
so by using this, we calculate vertices of reflected shape of MAST, we get
(-3,-1), (-3,2),(-5,3) and (-7,1)
X = 1 & Y = -1 this is the way that we should find x
Answer:
The height of the equilateral triangle is 
Step-by-step explanation:
we know that
An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees
To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD
Remember that the height of an equilateral triangle bisects the base.
see the attached figure to better understand the problem
substitute the given values
Solve for BD
simplify
`
therefore
The height of the equilateral triangle is
Answer:
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