Answer:
The absolute value graph below does not flip.
Step-by-step explanation:
New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.
The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.
"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.
"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.
"d" shows horizontal shifts left (positive number) or right (negative number).
"c" shows vertical shifts up (positive) or down (negative).
The function f(x)=2|x-9|+3 has these transformations from the parent graph:
a = 2; Vertical stretch by a factor of 2
k = 1; No change
d = 9; Horizontal shift right 9 units
c = 3; Vertical shift up 3 units
Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.
<span>Simplifying
k3 + 4k2 + 4k = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = 10k + -1k3
</span><span>
</span>
Answer
The Associative Property of Addition
Step-by-step explanation:
Because according to that property, you can group any two numbers and the answer will be the same.
Answer:
Perimeter: 6x+8
Area: 2x²+8x
Step-by-step explanation:
Perimeter- the sum of all sides
So, you do x+4+x+4+2x+2x
Simplify that to- 2x+2x+2x+8
And also simplify that to- 6x+8
Area- length*width
So, it's (x+4)*2x
which is 2x²+8x
Answer:
Option (3)
Step-by-step explanation:
Perimeter of a regular hexagon = 30 units
Length of one side = 
= 5 units
Interior angle of hexagon = 
= 
= 120°
BC is an bisector of the angle measuring 120°.
m∠ABC = 60°
Similarly, m∠BCA ≅ ∠CAB ≅ 60°
Therefore, ΔABC is an equilateral triangle.
By the property of equilateral triangle, all sides of the triangle will be equal in measure.
AB ≅ BC ≅ AC ≅ 5 units
Perimeter of triangle ABC = AB + BC + AC
= 5 + 5 + 5
= 15 units
Option (3) will be the answer.
