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3 years ago

Given that (-6,2) is on the graph of f(x) find the corresponding point for the function f(1/4x).

1 answer:

7 0

Answer: (-24,2)

=======================================

Work Shown:

The y coordinate stays the same. Only the x coordinate will change.

(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2

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Find the vertex of this parabola:<br> y = -x2 - 4x - 2

VikaD [51]

<h3>Hello!</h3>

$===============================$

In order to find the vertex of a parabola, we use the following formula:

$\bold{\displaystyle\frac{-b}{2a} }}$

Remember, a parabola looks like so:

$\tt{y=ax^2+bx+c}$

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

$\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}$

Simplify:

$\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}$

Divide:

$\hookrightarrow\sf{-2}$

$===================================$

<h3>Notes:</h3>

Hope everything is clear.
Let me know if you have any questions!
Enjoy your day!
Always remember: Knowledge is power!

<h3>Answered by:</h3>

$\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}$

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