1. -2x + 3y + 5
A. -x + -x + y + y + y + 1 + 1 + 1 + 1 + 1
B. -x + -x + 2y + y + 4 + 1
D. -5x + 3x + 4y - y + 4 + 1
2. -$40 + 100 = $60 - $50 = $10
Cindy currently has $10 left in her bank account.
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:
y = c/b - (A x)/b
Step-by-step explanation:
Solve for y:
A x + b y = c
Hint: | Isolate terms with y to the left hand side.
Subtract A x from both sides:
b y = c - A x
Hint: | Solve for y.
Divide both sides by b:
Answer: y = c/b - (A x)/b
4/5 because 8/10 is equal to 4/5 which is the simplest form<span />
