The parabola y=x^(2) is shifted up by 4 units. What is the equation of the new parabola? y=

Understand Effect of Shift: Understand the effect of shifting a graph vertically. Shifting a graph up or down is equivalent to adding or subtracting a constant from the y-value of the function.Apply Vertical Shift: Apply the vertical shift to the original equation. The original equation of the parabola is y = x^2. To shift the graph up by 4 units, we add 4 to the y-value of the function. y = x^2 + 4Write Final Equation: Write the final equation of the new parabola. The new equation, after shifting the original parabola up by 4 units, is y = x^2 + 4.

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The parabola
y=x^(2) is shifted up by 4 units.
What is the equation of the new parabola?

y=

The parabola $y=x^{2}$ is shifted up by $4$ units. $\newline$ What is the equation of the new parabola? $\newline$ $y=$

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Q. The parabola

y=x^{2}

is shifted up by

4

units.

\newline

What is the equation of the new parabola?

\newline

y=

Understand Effect of Shift: Understand the effect of shifting a graph vertically. $\newline$ Shifting a graph up or down is equivalent to adding or subtracting a constant from the $y$ -value of the function.
Apply Vertical Shift: Apply the vertical shift to the original equation. $\newline$ The original equation of the parabola is $y = x^2$ . To shift the graph up by $4$ units, we add $4$ to the $y$ -value of the function. $\newline$ $y = x^2 + 4$
Write Final Equation: Write the final equation of the new parabola. $\newline$ The new equation, after shifting the original parabola up by $4$ units, is $y = x^2 + 4$ .