How does the graph of g(x)=(x+2)3-6 compare to the parent function of f(x) = x³?
1 answer:
Answer:
The graph has been moved two units to the left and six units to the bottom.
Step-by-step explanation:
You can rewrite your function as which can also be rewritten as
who has the same shape as the parent function. The main difference is that the point
which acts as a symmetry center has been replaced by
; the whole graph has been moved two units to the left and six units to the bottom.
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<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>
<em>Find if both graphs are parallel, that means the equation must be false.</em>
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<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>
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<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>