Answer:
go on photomath
Step-by-step explanation:
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:
I think
Step-by-step explanation:
If you chose Isosceles Right Triangle Reflection to prove ASA Congruence,. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, use your compass and straightedge.
Answer:
D) y = 10 - 0.05x
Step-by-step explanation:
The number of gallons of gas left in the tank of Anna's car can be represented using a linear function in the form

where
x is the number of miles driven
q is the amount of gallons initially in the tank, when x = 0
m is the number of gallons consumed per mile driven
First of all, we observe that:
- The sign of m must be negative, because as the car drives, the number of gallons left in the tank (y) must decrease. Therefore, we can immediately exclude option C)
- The problem says that the car has a small tank. Therefore, the number of gallons in the tank at the beginning must be the minimum possible, so in this case, q = 10
Therefore, the correct function is:
y = 10 - 0.05x
which means that: at the beginning, the tank contains 10 gallons, and 0.05 gallons per mile are consumed as the car moves.