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1 answer:
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One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:
When
x=0,f(x)=0
x=1,f(x)=1^2=1
x=2,f(x)=2^2=4
x=3,f(x)=3^2=9
x=4,f(x)=4^2=16
The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,
x=−1,f(x)=(−1)2=1*−1=1
x=2,f(x)=(−2)2=−2*−2=4
The graph of f(x)=x^2 is called a "Parabola." It looks like this:
Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) =
=
Parent function of this transformed function =
Vertical stretch = By a factor of
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) = has been vertically stretched by a factor of
2). Followed by the translations of 3 units left and 3 units up.