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3 years ago

Need help with number 2 please !!

Mathematics

1 answer:

Natali [406]3 years ago

4 0

(0,4) (0,-2) (-2,0)

for the reflection over the x-axis, all the y values go to their opposite (0,-4) (0,2) (2,0)

then at the rotation it goes (-x,-y) and becomes (0,4) (0,-2) (-2,0)

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Step-by-step explanation:

84-24*2=36

36/2=18

18*24= 432

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What is the rate of change in the following linear equation: -8x + 4y = 10 - 2x

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3 years ago

HELP PLEASE!!!!!!!!!!!

emmainna [20.7K]

Answer:

Part 1) $y=-x^{2}$ ---> Translated up by 1 units

Part 2) $y=x^{2}+1$ ---> Reflected across the x-axis

Part 3) $y=-(x+1)^{2}-1$ ---> Translated left by 1 unit

Part 4) $y=-(x-1)^{2}-1$ ----> Translated right by 1 unit

Part 5) $y=-x^{2}-1$ ----> Reflected across the y-axis

Part 6) $y=-x^{2}-2$ ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

$y=-x^{2}-1$ ----> this is a vertical parabola open downward with vertex at (0,-1)

Calculate each case

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

$y=-x^{2}$

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

$y=x^{2}+1$

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

$y=-(x+1)^{2}-1$

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

$y=-(x-1)^{2}-1$

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

$y=-x^{2}-1$

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

$y=-x^{2}-2$

3 0

3 years ago

Which one of these shapes is not like the others? Shape A Shape B Shape C

guapka [62]

It is c because b is an enlarged version of a

5 0

3 years ago

Read 2 more answers

1. What is an equation of the line through (3, 12) with slope = 3?

mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0

3 years ago