diglesias224410
contestada

The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?



The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?

Select one:
A. y=−x2−1
B. y=10x2
C. y=−x2
D. y=−(x−1)2

The graph of the quadratic function y x2 is shown below If this parabola is reflected about the xaxis what is the new equation of the quadratic function The gra class=

Respuesta :

calculista

Answer:

Option C. [tex]y=-x^2[/tex]

Step-by-step explanation:

we know that

We can reflect the graph of any function f(x) about the x-axis by graphing y=-f(x)

so

The rule of the reflection of a function f(x) across the x-axis is

(x,f(x)) ------> (x,-f(x))

In this problem we have

[tex]f(x)=x^{2}[/tex]

Applying the rule of the reflection across the x-axis

[tex](x,x^2) ----> (x,-x^2)[/tex]

therefore

The new equation of the quadratic function is

[tex]y=-x^2[/tex]

Otras preguntas