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3 years ago

For the function f(x) = 2 – 3x, find f(–4). 14 12 –10 –5

Mathematics

2 answers:

lana66690 [7]3 years ago

6 0

Answer:

the first option

Step-by-step explanation:

for this you just have to plug in -4 for x

f(-4) = 2 - 3(-4)

f(-4) = 2 - (-12)

f(-4) = 2 + 12

f(-4) = 14

galina1969 [7]3 years ago

4 0

Answer:

14.

Step-by-step explanation:

Replace the x in f(x) by -4:

2 - 3(-4)

= 2 + 12

= 14.

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Read 2 more answers

Describe the translation. y = (x-5)squared +5 - y = (x-))squared +0

vovangra [49]

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units

The given parameters are:

$y = (x - 5)^2 +5$

$y = (x - 0)^2 +0$

Assume the first point is: $y = (x - 5)^2 +5$

While the second is: $y = (x - 0)^2 +0$

The first point is first shifted left by 5 units

The rule to this translation is: $(x,y) \to (x + 5,y)$

So, we have:

$y' = (x - 5 + 5)^2 + 5$

$y' = (x - 0)^2 + 5$

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: $(x,y) \to (x,y- 5)$

So, we have:

$y" = y' - 5$

This gives:

$y" = (x - 0)^2 + 5 - 5$

$y" = (x - 0)^2 + 0$

Hence, the translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units