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3 years ago

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

Mathematics

1 answer:

kirza4 [7]3 years ago

8 0

Just take the second slot which is -3

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Please help me out!

seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

$f(x) =(x-1)(x+7)$

Use the distributive property to multiply the expression

$f(x) =x^2+7x-x-7$

$f(x) =x^2+6x-7$

For a function of the form $f (x) = ax ^ 2 + bx + c$ the x coordinate of the vertex is:

$x =-\frac{b}{2a}$

Then in this case the coordinate of the vertex is:

$x =-\frac{6}{2(1)}$

$x =-3$

To obtain the y coordinate of the vertex we evaluate the function at $x = -3$

$f(-3) =(-3)^2+6(-3)-7$

$f(-3) =9-18-7$

$f(-3) =-16$

Then the vertex is: (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for $x$ and $x> 1$

The correct answers are:

Second option

Third option

Fourth option

7 0

3 years ago

How do I right there fraction 4/12 in simplistic form??

harkovskaia [24]

4/12 in simplest form would be 1/3 because 4 goes into 4, one time and 4 goes into 12, 3 times.

5 0

3 years ago

Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

AleksandrR [38]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 ( $\frac{\sqrt{2} }{2}$ + $\frac{\sqrt{2} }{2}$ i )

= 64 ( $\frac{\sqrt{2} }{2}$ (1 + i) )

= 32 $\sqrt{2}$ (1 + i)

= 32 $\sqrt{2}$ + 32 $\sqrt{2}$ i

5 0

3 years ago

Find the slope and the line between each pair of points

dalvyx [7]

Girl what are you talking about

4 0

2 years ago

Joann is looking at a map. The map shows that two towns are 13.5 inches apart. If the scale factor for the map is 1.25 inch = 10

k0ka [10]

Answer:

biotbhuvb2tupbpu2

Step-by-step explanation:

6 0

2 years ago