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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What are the number lines though?
Give more info.
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
Answer:
3 teaspoons.
Step-by-step explanation:
I am going to do this by figuring out how many teaspoons of molasses is need to serve 2 and then multiply that number by 3. because 3 x 2 = 6.
10 divided by 5 is 2. 5 divided by 5 equals 1. This means that to feed 2 people you need 1 teaspoon of molasses.
1 tsp + 1 tsp + 1 tsp = 3 tsp.
This means that I need 3 tsp of molasses to feed 6 people.
Answer:
y = (5/3)x
y = five-thirds x
Step-by-step explanation:
Slope = 10/6 = 5/3
Y-intercept = 0
y = (5/3)x
