3 years ago

Match each graph to it's correct equation in the box below. You will not use every equation.

Mathematics

1 answer:

nekit [7.7K]3 years ago

6 0

I can’t see the picture

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Find the equation of the quadratic function F whose graph is shown below.<br> F(x) = ?

zepelin [54]

Answer:

y = x² - 2x - 3

Step-by-step explanation:

y + 4 = C(x - 1)²

To determine C, use x = 4, y = 5

5 + 4 = C(4 - 1)²

9 = 9C, C = 1

y + 4 = (x - 1)² = x² - 2x + 1

y = x² - 2x - 3

6 0

2 years ago

Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side o

Kipish [7]

Answer:

$y=-\frac{4}{7} x+\frac{55}{7}$

Step-by-step explanation:

Change the given equation to slope-intercept to get $y=\frac{7}{4}x-\frac{1}{4}$ . When you multiply the slopes of perpendicular lines, you get -1. -1 divided by $\frac{7}{4}$ is $-\frac{4}{7}$ . The slope of the new line is then $-\frac{4}{7}$ . The perpendicular line passes through (5, 5) so you can have the equation $5=-\frac{4}{7} (5)+b$ . Simplifying gets $b = \frac{55}{7}$ . So now the final equation for the perpendicular line is $y=-\frac{4}{7} x+\frac{55}{7}$