Simplify. Write the expression using only positive exponents. m^−2⋅n^3

Mathematics

1 answer:

Andru [333]3 years ago

7 0

Step-by-step explanation:

n³/m²

remember, x^-n = 1/(x^n)

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Solnce55 [7]

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3 years ago

The graph of a quadratic function contains (4,-64) and it's vertex is at the origin.write an equation for this function.

lesya692 [45]

Answer:

Step-by-step explanation:

Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation. I used the vertex form and solved for a:

$y=a(x-h)^2+k$

We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64). That's our x and y. Plugging in what we have:

$-64=a(4-0)^2+0$ gives us

-64 = 16a and

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3 years ago

How would you describe the difference between the graphs of f(x) = x^2 +4 and g(y) - y^2 +4?

s2008m [1.1K]

Answer:

Step-by-step explanation:

The function $f(x)=x^2+4$ is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function $g(y)=y^2+4$ is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.