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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X^2 + 3x - 4 = 6
x^2 + 3x -10 = 0
(x + 5)(x - 2) =0
x = -5 or x = 2
solution set is {-5,2}
Answer:
Please check the explanation!
Step-by-step explanation:
Given the equation

As some of the absolute rules are:
NOW, let us solve!
Let us substitute all the table values
Putting x = -4
∵


So, when x = -4, then y = -7
Putting x = -3



when x = -3, then y = -5
Putting x = -2



when x = -2, then y = -3
Putting x = -1



when x = -1, then y = -1
Putting x = 0



when x = 0, then y = -3
Putting x = 1



when x = 1, then y = -5
The graph is also attached below.
The first one is equal to 4 3/5
Because we add the front and add te numerator for the battle its stay the same
The second one is 3 1/1 so it's 3 1
We jut subtrat
Answer:
Step-by-step explanation:
180 yards :)