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  • The graph of y=x^2+3x is shifted 3 units to the right. This graph is then vertically stretched by a factor of 6 and reflected across the x-axis. Finally, the graph is shifted 8 units upwardWRITE THE EQUATION

The graph of y=x^2+3x is shifted 3 units to the right. This graph is then vertically stretched by a factor of 6 and reflected across the x-axis. Finally, the graph is shifted 8 units upwardWRITE THE EQUATION

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y=x^2+3x\*New;axes;are;X;and;Y.\* Shift;right, Rightarrow X=x+3\* Stretch;vertically;by;a;factor;of;6 Rightarrow Y=6y\* Reflected;across; x-axis Rightarrow Y;becomes; -YRightarrow Y=-6y\* Graph;shifted;8; units;upwardsRightarrow Y;becomes;Y+8Rightarrow Y=-6y+8\*So, ; x=X-3 ;and;y=frac8-Y6\* Substitute ;this ;in;the ;original ;equation ;for;the;graph,\* frac8-Y6=(X-3)^2 + 3(X-3)\* Rightarrow frac8-Y6=X^2-3X\* Y=-6X^2+18X+8\*So,;the;equation;of;the;graph;is;Y=-6X^2+18X+8

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Deependra Verma

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