contestada

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply.
The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors.
The equation 2x + 7 = 0 can be used to find a zero of the function.
The equation (2x – 7)2 = 0 can be used to find the y-intercept.
The graph has a double root at x = .
The graph intersects the y-axis at y = 49.

Respuesta :

XXROGUEXLUCYXX

The second one

The forth one

The fifth one

MrRoyal

The true statements are

  • (b) The equation 2x + 7 = 0 can be used to find a zero of the function
  • (d) The graph has a double root at x = -7/2
  • (e) The graph intersects the y-axis at y = 49.

The function is given as:

[tex]y =4x^2 + 28x + 49[/tex]

Express 28x and 14x + 14x; so, we have:

[tex]y =4x^2 + 14x + 14x + 49[/tex]

Factorize

[tex]y =2x(2x + 7) + 7(2x + 7)[/tex]

Factor out 2x + 7

[tex]y =(2x + 7)(2x + 7)[/tex]

Express as a perfect square

[tex]y =(2x + 7)^2[/tex]

[tex]y =(2x + 7)^2[/tex] means that the graph of the equation has a double root.

It also means that, 2x + 7 = 0 can be used to determine the root/zero of the function.

Substitute 0 for x in [tex]y =(2x + 7)^2[/tex] to determine the y-intercept

[tex]y =(2(0) + 7)^2[/tex]

[tex]y =49[/tex]

This means that, the graph intersects with the y-axis at y = 49

Hence, the true statements are (b), (d) and (e)

Read more about quadratic functions at:

https://brainly.com/question/11441586

Otras preguntas