The function g is defined as follows. g(x)=2x^2-5 If the graph of g is translated vertically upward by 3 units, it becomes the g
raph of a function h. Find the expression for h(x).
1 answer:
<h3>
Answer: h(x) = 2x^2-2</h3>
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Explanation:
We shift the graph of g upward by 3 units. This means we add 3 onto g(x) like so
h(x) = g(x)+3
h(x) = (2x^2-5)+3
h(x) = 2x^2-5+3
h(x) = 2x^2-2
All points on g(x) move up by 3 units to get to a point on h(x). For instance, the y intercept (0,-5) on g(x) moves to (0,-2) on h(x).
When we say something like g(x)+3, we effectively mean y+3 to indicate an upward shift of 3 units. Recall that y = g(x) because they are both outputs.
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Hope this helps!
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
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Answer:
Expand the 21(2-x)=42-21x
then you add 12 x with 42-21x
making it 42-9x=44
hence,
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hope this helps. :)
Answer:
12
Step-by-step explanation: