All categories

3 years ago

Suppose y = f(x) + k. What effect does k have on the parent function?

Mathematics

1 answer:

maks197457 [2]3 years ago

8 0

Answer:

k determines how many units up or down the parent function will be translated.

Step-by-step explanation:

y=f(x)+k, where k>0 ——> the parent function will be translated up k units

y=f(x)+k, where k<0 ——> the parent function will be translated down k units

You might be interested in

Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.

Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

$y=ax^2+bx+c$

Here the vertex of an up - down facing parabola has a form of,

$x_v=-\dfrac{b}{2a}$

The parameters we have are,

$a=-5,b=-10, c=6$

Plug them in vertex formula,

$x_v=-\dfrac{-10}{2(-5)}=-1$

Plug in the $x_v$ into the equation,

$y_v=-5(-1)^2-10(-1)+6=11$

We now got a point parabola vertex with coordinates,

$(x_v, y_v)\Longrightarrow(-1,11)$

From here we emerge two rules:

If $a$ then vertex is max value
If $a>0$ then vertex is min value

So our vertex is minimum value since,

$a=-5\Longleftrightarrow a$

Hope this helps.

r3t40

7 0

3 years ago

[ f°g](x) 12. f(x) = -3x g(x) = 5x - 6

irinina [24]

Answer:

o zaman burayı tıkla ve Kazan kampanyası ile

Step-by-step explanation:

tüm Türkiye'ye gönderilir ve hangi partiye sızmış bir şey değil bu oran iletişim

4 0

2 years ago

The base of a triangle is 3 cm longer than its altitude. The area of the triangle is 35cm^2. Find the altitude. (Hint: use the a

klemol [59]

The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.

7 0

3 years ago

The formula for the volume of this rectangular prism is: V = 5x3 + 29x2 + 34x – 8

mel-nik [20]

Answer:

-199

Step-by-step explanation:

7 0

3 years ago

Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK

Stells [14]

Answer:

Heyyyy!!

The answer is 66.9

please read the explanation... it will help... I promise

Step-by-step explanation:

Okay... Here we go...

The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...

So... you basically have to find the scale factor...

(the math itself is easier than the explanation...

51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...

so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)

but yeah... i hope this helps...

6 0

2 years ago