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gfields444

  • 3 years ago

What is the equation of the line of symmetry for the graph of y = 3(x + 2)2 – 4?

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  1. eseidl
    • 3 years ago
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    The line of symmetry is the line that goes through the vertex of this parabola. Do you know how to find the vertex?

  2. gfields444
    • 3 years ago
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    no

  3. eseidl
    • 3 years ago
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    Your equation is already given in what is called "vertex form". Given:\[y=a(x-h)^2+k\]The vertex is the point (h,k).

  4. gfields444
    • 3 years ago
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    Ohhh! Okay got it!

  5. eseidl
    • 3 years ago
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    So, what's the vertex?

  6. eseidl
    • 3 years ago
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    And remember that once you have the vertex, you still need to find the line of symmetry.

  7. gfields444
    • 3 years ago
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    -2?

  8. eseidl
    • 3 years ago
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    x=-2 is correct. Saying "-2" doesn't tell us anything. Make sure you write x=-2. This is a vertical line through the point (-2,-4). It cuts the parabola into symmetry halves. It is the line of symmetry for this parabola. Make sense?

  9. gfields444
    • 3 years ago
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    Ohh, thank you so much. You helped a ton!

  10. eseidl
    • 3 years ago
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    no problem :)

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