elabeause elabeause
  • 14-06-2021
  • Mathematics
contestada

What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?

x = -1
x = -1/2
x = 1/2

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 19-06-2021

Answer:

[tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]y = -x^2 + x + 3[/tex]

Required

The line of symmetry

This is calculated using:

[tex]x= -\frac{b}{2a}[/tex]

Where:

[tex]y = ax^2 + bx + c[/tex]

So, by comparison:

[tex]a = -1[/tex]      [tex]b = 1[/tex]    [tex]c = 3[/tex]

So, we have:

[tex]x = -\frac{1}{2 * -1}[/tex]

[tex]x = -\frac{1}{-2}[/tex]

[tex]x = \frac{1}{2}[/tex]

Answer Link
maddiej608
maddiej608 maddiej608
  • 09-03-2022

1/2 is correct, the formula to use is x= - b/2a :)

Answer Link

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