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love history [14]
3 years ago
7

Which direction does the graph of f(x) = −18 + x2 − 3x open?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
Please write this equation as    <span>f(x) = −18 + x^2 − 3x       

Rewrite it in descending order by powers of x:  f(x) = x^2 - 3x - 18

Since the coefficient of the x^2 term is +, the graph opens UP.</span>
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Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then ref
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Answer:

F'G' = 7

Step-by-step explanation:

Given

F = (-2,4)

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Required

Distance of F'G'

The transformation that give rise to F'G' from FG are:

  • Translation
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The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.

i.e.

F'G' = FG

Calculating FG, we have:

FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

Where:

F = (-2,4) --- (x_1,y_1)

G = (-2,-3) --- (x_2,y_2)

FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}

FG = \sqrt{(0)^2 + (7)^2}

FG = \sqrt{0 + 49}

FG = \sqrt{49}

Take positive square root

FG = 7

Recall that:

F'G' = FG

F'G' = 7

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