mgoodnight16
Answered

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4
Select the correct answer.
The y-intercept of the parent quartic function, f(x) = x^4
transformation?
Is translated 3 units to the right and 1 unit down. Which equation represents this
OA. g(t) = (1 + 1)4 + 3
OB. g(t) = (1 - 1)4 + 3
Oc g(1) = (1 – 3)4 – 1
OD. g(x) = (x + 3)4 - 1

Sagot :

queenava4l

Answer:

It's C.

Step-by-step explanation:

I took the test and got it right. I think you kind of confused people with g(t) and g(1). On the test it says g(x), and the 4's are exponents.

The equation which represents the transformation of the y-intercept of the parent quartic function,[tex]f(x) = x^4[/tex]   is given by     [tex]g(x)=(x-3)^4-1[/tex] .

What is transformation  ?

Transformation is the act or process of changing completely. In this also the graph changes or transform.

We have,

Parent Quadratic equation [tex]f(x)=x^4[/tex]

And

It translated [tex]3[/tex] units to the right and [tex]1[/tex] unit down.

And the parent quadratic function is in the form of [tex]f(x) = a(x-h)^4 + k.[/tex]

Here,

"h" tells if the vertex of the parabola is going left or right.

"k" determines if the vertex of the parabola is going up or down.

So, According to the question;

We have,

[tex](a)[/tex]   [tex]3[/tex]  units to the right

[tex](b)[/tex]   [tex]1[/tex] unit down

So,

Equation would be  [tex]g(x)=(x-3)^4-1[/tex]  means that you have moved the vertex of the parabola  [tex]3[/tex]  units to the right and  [tex]1[/tex] units down.

(Always remember if moving right means [tex](x-3)[/tex] sign would be minus because in parent quadratic function is in the form of [tex]f(x) = a(x-h)^4 + k[/tex] we have minus sign.)

Hence, we can say that the equation which represents the transformation of the y-intercept of the parent quartic function,[tex]f(x) = x^4[/tex]   is given by     [tex]g(x)=(x-3)^4-1[/tex] .

To know more about transformation click here

https://brainly.com/question/10059147

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