Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x - 6 = 10
Subtract 10 from each side
x^2 +6x -16 =0
Factor what 2 numbers multiply to -16 and add to 6
8*-2 = -16
8-2 = 6
(x+8) (x-2) =0
Using the zero product property
x+8 =0 x-2 =0
x= -8 x=2
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
Please mark my answers as the Brainliest, if you find this helpful :)
She has $55. She spent $22.50 on rides so now she has $32.50 . Then she spends $14.25 on lunch and snack so now she has $18.25.
A. would be wrong because Courtney IS correct, she has $18.25 left.
C. is also wrong because, again, Courtney IS correct.
So the only option left is B and it explains why Courtney is correct.
Option B is the correct answer.
Hope this helps.
Answer:
8 hours
Step-by-step explanation:
6x+20=68
subtract 20 from both sides
6x=48
divide 6 both sides
x=8
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