Graphing Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Write the equation for

y = 3 (x - 2)^{2}

shifted 4 units up and 5 units to the left.

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Right now, the vertex for this point is (2,0), so to shift it up 4 and left 5 would place it at (−3,4).

This gives us an equation of $y = 3 (x + 3)^{2} + 4$

We could also get this by adding 5 inside the parentheses for the left 5 shift, and adding 4 on the outside for the up 4 shift.