<span>First we need to find the GCF (greatest common factor)</span>
<span>Factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42</span>
<span>Factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48</span>
<span>GCF is 6</span>
<span>To simplify you divide numerator and denominator into the GCF</span>
<span>42 ÷ 6 = 7</span>
<span>48 ÷ 6 = 8</span>
<span>42/48 = 7/8</span>
<span>Hope this helps. :)
</span>
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>.
Please mark my answers as the Brainliest, if you find this helpful :)
Answer:
The silk road was a trading route and some stuff that happened on it was trading, robbings. Some stuff that was traded was gold and silk
Step-by-step explanation:
yuh yw
Answer:
C) line d
Step-by-step explanation:
Line D’s slope is -1/2, so C is the correct answer.
Answer:
x=0, y=-5
Step-by-step explanation:
The system is
(1) 5x+3y=-15
(2) -8x-2y=10
Let's solve it by elimination. In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated
Multiply (1) by 2 and (2) by 3
(1) 10x+6y=-30
(2) -24x-6y=30
Add the two equations
10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0
Now replace this value in any equation, for example in (1)
6y=-30 ----> y=-30/6----> y=-5
