Answer:
1/-2
Step-by-step explanation:
To find the slope:
rise/run
From point to point
So....
From (-1,0)
you go up 2(2)
then left 4(-4)
to get to (-5,2)
so 2/-4 reduced is 1/-2
It is 236. Happy to help (:
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:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and
, we want to find a
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that
. Then
.
Then, if
, then
. So, in this case, if
we get that
. The maximum value of delta is
.
By definition, this procedure proves that
. Note that f(5)=14, so this proves that f is continous at x=5.