QUESTION 4 Sketch on the same set of axes the graphs of $$ f(x)=-2 x^{2}-4 x+6 $$ and $$ g(x)=-2 \cdot 2^{x-1}+1 $$ Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

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Montgomery Henry · Accepted Answer

To sketch the graphs of $$ f(x) = -2x^2 - 4x + 6 $$ and $$ g(x) = -2 \cdot 2^{x-1} + 1 $$, find the intercepts, turning points, and asymptotes for each function. For $$ f(x) $$, the y-intercept is $$ (0, 6) $$, x-intercepts are $$ (-3, 0) $$ and $$ (1, 0) $$, turning point is $$ (1, 0) $$, and it opens downwards. For $$ g(x) $$, the y-intercept and x-intercept are both $$ (0, 0) $$, and it has a horizontal asymptote at $$ y = 1 $$. Sketch the graphs accordingly, labeling all points and features.

QUESTION 4 Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

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QUESTION 4 Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).

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