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>.
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Answer:
B. 5x + 25 > 75
Step-by-step explanation:
Points available = 25
Additional points earned per puzzle =5
He will advance to the next round if his score is over 75 points.
This means, he will move unto the next stage of his points exceeds 75 or greater than 75
The inequality is:
25 + 5x > 75
It can also be written as
5x + 25 > 75
The correct answer is B. 5x + 25 > 75
5x + 25 > 75
5x > 75 - 25
5x > 50
x > 50 / 5
x > 10
A. 5x + 25 < 75
B. 5x + 25 > 75
C. 25x + 5 > 75
D. 5x + 75 < 25
62.50 * .18 = $11.25
Add tip-
11.25 + 62.50 = 73.75
Total - $73.75
Answer: yes
Step-by-step explanation:
2+2=4
