Keith’s gas tank is 1/3 full. After he buys 2 gallons of gas, it is 1/2 full. How many gallons can Keith’s tank hold?
2 answers:
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Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
