The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
- f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
A horizontal stretching is the stretching of the graph away from the y-axis
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
- If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
- If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.
∵ f(x) = x
∵ g(x) = f(-10x)
- Substitute x by -10x
∴ g(x) = -10x
∵ x is changed to 10x
- x multiplied by a number means shrink or stretch horizontally
∵ k = 10
∵ 10 > 1
∴ The graph of f(x) is shrunk horizontally by a factor of 10
∵ The value of g(x) is negative
- The negative sign of g(x) means reflection across x-axis
∴ The graph of f(x) is reflected about the x-axis
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "
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You can learn more about reflection in brainly.com/question/5017530
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Answer:
If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.
Step-by-step explanation:
288m^3 is what I got, hope it helps!
