# How do you sketch the graph of y=x^2+4 and describe the transformation?

Jun 13, 2018

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#### Explanation:

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A Quadratic Equation in standard form:

$a {x}^{2} + b x + c = 0 , a \ne 0$

graph{x^2+4 [-40, 40, -20, 20]}

color(red)(y=x^2 is the Parent Graph.

color(blue)(y=x^2 +4 is the graph of the given function.

If the coefficient of the x-term (a) is positive, the graph of the parabola Opens Up.

If the coefficient of the x-term (a) is negative, the graph of the parabola Opens Down.

The value of $c$ shifts the Vertex of the parabola Up or Down .

$c$ is also the y-intercept.