Question

The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g horizontally shifted left 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g vertically shifted down 1 unit.
D.
The graph of h is the graph of g horizontally shifted right 1 unit.

Answer 1

Step-by-step explanation:

look at the graph and translate. and the answer is D

Answer 2

Transformation of a function can be defined as the change of the function from one form to another form.  The option B is the correct option which is the graph of h is the graph of g vertically shifted up 1 unit.

Given information

The function given in the problem is,

$g(x) = x^2$

The above function after the transformation can be given as,

$h(x) = g(x)+1$

Put the values of the function, then

$h(x) = x^2+1$

What is transformation of function?

Transformation of a function can be defined as the change of the function from one form to another form.

Let $f(x)$ is the function of x. For the transformation of the function, when some unit (say $b$) is added outside the function as,

$f(x)+b$

Then the function is moved $b$ units up in the graph.

As the unit 1 is added outside in the squaring function. Thus the graph of $g$up with 1 units.

Hence the option B is the correct option which is the graph of h is the graph of g vertically shifted up 1 unit.

Learn more about the transformation of a function here;

https://brainly.com/question/4135838