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Graph the function $g(x) = -2x^2 + 8x - 6$ using shifts and scaling methods.

Given the function $y=g\left(x\right)$, which transformation describes the graph of $y=g(3x+2_{})$?

Write the new equation after shifting the given graph as stated below. Also, plot both graphs using the same rectangular coordinate system.

$y=\sqrt{5x}$, Left $8$ units

For the given function, draw the graph.

$y = \frac{3}{x^2} + 5$

Graph the function $y=\sqrt{36\mid x\mid }$ using transformations on the graph of $y=\sqrt{x}$.