3 years ago

Find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)

Mathematics

1 answer:

frutty [35]3 years ago

5 0

midpoint = ( $\frac{13}{2}$ , - 6 )

using the midpoint formula

midpoint = [ $\frac{1}{2}$ (4 + 9), $\frac{1}{2}$ (- 10 - 2 )] = ( $\frac{13}{2}$ , - 6)

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The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I

Firdavs [7]

The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

<h3>How to analyze quadratic equations</h3>

In this question we have a graph of a quadratic equation translated to another place of a Cartesian plane, whose form coincides with the vertex form of the equation of the parabola, whose form is:

g(x) = C · (x - h)² - k (1)

Where:

(h, k) - Vertex coordinates
C - Vertex constant

By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.

x = 2

g(2) = (2 - 5)² + 1

g(2) = 10

x = 8

g(8) = (8 - 5)² + 1

g(8) = 10

The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).

To learn more on parabolae: brainly.com/question/21685473

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7 0

2 years ago

Which of the following could represent the graph of f(x) = x4 + x3 – 8x2 – 12x?