Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?
1 answer:
Answer:
See below.
Step-by-step explanation:
Are f(x)=x2 and g(x) =4/5x2 correctly written?
This answer assumes they are supposed to be:
f(x)=x^2 and g(x) = (4/5)x^2
If these revisions are correct, g(x) would produce values that are (4/5) of f(x).
See attached graph.
I don't see any of the options for "best statement."
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Answer: Choice C) Multiplication property of inequality
The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.
Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips
Example 2:
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip
Similar rules apply to a > b,
and 
The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.
Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips
Example 2:
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip
Similar rules apply to a > b,
Answer:
; minimum
Step-by-step explanation:
Given:
The function is,
The given function represent a parabola and can be expressed in vertex form as:
The vertex form of a parabola is , where,
is the vertex.
So, the vertex is .
In order to graph the given parabola, we find some points on it.
Let
So, the points are .
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex , it is minimum.
