If k(x) = x2 and p(x) = k(x) + n, what is the value of n?

Mathematics

1 answer:

Sauron [17]3 years ago

6 0

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

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What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3

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Answer <u>(assuming it can be in point-slope form)</u>:

$y + 8 = \frac{1}{3} (x+6)$

Step-by-step explanation:

With the given information, we can use the point-slope formula, $y-y_1 = m (x-x_1)$ , to write the equation of the line. Substitute values for the $m$ , $x_1$ , and $y_1$ in the formula to do so.

The $m$ represents the slope, so substitute $\frac{1}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of one point the line intersects, so substitute -6 for $x_1$ and -8 for $y_1$ . This gives the following answer and equation (just make sure to convert the double negatives into positives: