These tables have infinitely many values, but the simplest ones would be:
a) x|y
3|5
6|10
9|15
b) x|y
2|1
4|2
6|3
Your graph for c would look like the attached picture
The slope of function A is the coefficient of x, which is 6.
The slope of function B is the rise divided by the run, which is 3/1 = 3.
The appropriate choice is ...
... c) Slope of Function A = 2×Slope of Function B
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:
x=7, x= -2
Step-by-step explanation:
- Start by putting the whole equation to one side: x2-5x=14 ----> x2-5x-14=0
- Next, factor the equation: x,x -7,2 ----> (x-7)(x+2)=0
- Now, solve both equations: x-7=0....x=7 AND x+2=0.....x= -2
- Plug both in to make sure that they are correct....both are correct
