Question

The function y = x2 + 3 is a transformation of the function y = x2. How is the y-intercept of the function affected by the transformation?

The y-intercept of the graph of y = x2 is shifted down 3 units.
The y-intercept of the graph of y = x2 is shifted to the left 3 units.
The y-intercept of the graph of y = x2 is shifted to the right 3 units.
The y-intercept of the graph of y = x2 is shifted up 3 units.
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Answer on Edmentum is:

The y-intercept of the graph of y = x2 is shifted up 3 units.

Explanation:
The graph of a function in the form y = f(x) + k is the graph of f shifted up k units. The graph of y = x2 + 3 is the graph of y = x2 shifted 3 units up, so the y-intercept of the graph of y = x2 is shifted up 3 units.

Answer 1

The y-intercept of the graph of y = x2 is shifted up 3 units.

Exponential equation

The standard exponential equation is expressed as y = ab^x. Exponential equation is inverse of logarithmic equation.

Translation of coordinates

Translations is a transformation technique that changes the position of an object from one point on the plane to another.

Given the parent function f(x) = x^2

If the function is shifted 3 units up, the function g(x) is derived by adding 3 to the function f(x). The resulting function is given as;

g(x) = f(x) + 3

g(x) = x^2 + 3

Hence the equation of the new graph g(x) is expressed as g(x) = x^2 + 3

Learn more on translation here: https://brainly.com/question/1046778

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