MATHEMATICS HIGH SCHOOL

Which steps transform the graph of y•x^2 to y = -2(x - 2)^2 + 2

Translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, translate up 2 units,stretch by the factor 2

Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2

Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units

Answers

Answer 1

Answer:

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of $y = x ^ 2$ into $y = -2(x - 2) ^ 2 + 2$ the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let $y = f (x-2)$ then $y =(x-2) ^ 2$ Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do $y = -f(x)$ Then $f (x) = -(x-2) ^ 2$

3) Stretch according to factor 2.

For this we do $y = 2f(x)$

Then we have $f(x) = -2 (x-2) ^ 2$

4) Move up the graph in two units:

We do $y = f(x) +2$

Then $y = -2(x-2) ^ 2 +2.$

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

Answer 2

Answer:

Final answer:

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

Explanation:

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

Translate 2 units to the right
Reflect across the x-axis
Stretch by the factor 2
Translate up 2 units

Learn more about Transforming Graphs here:

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Solve simultaneous equation 2x + 4y = 13x-5y=7

Simplify using positive exponents
(x–2y–4x3) –2

Answers

$(x-2y-4x^3)-2$

Remove the parentheses (a) = a

$= x-2y-4x^3-2$

hope this helps!

HELP!! What does this equal??? and what does it mean??? How do you solve it to a normal number?? 1.32601E7

Answers

Answer:

13260100

Step-by-step explanation:

1.32601*E7=

1.32601*10^7

move the decimal 7 units to the left and add zeros into empty spaces to increase the number 1.32601 ten million (10,000,000) times

1.32601*10000000=

13260100

HELP
If m∠ABC = 72°, what is m∠DAB?

Answers

Value of ∠DAB is 108°

Intersection of Parallel lines:

Given that;

∠ABC = 72°

Find:

Value of ∠DAB

Computation:

We know that Line AD is parallel to line CB

So,

∠ABC + ∠DAB = 180°

72° + ∠DAB = 180°

∠DAB = 108°

Find out more information about 'Parallel line'

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Answer: m∠DAB=72

Step-by-step explanation:

Since we have given that

∠ABC = 72°

Since the lines AD and BC are parallel to each other,

As we know that when the two parallel lines cut by a transversal then the corresponding angles will be formed.

And the corresponding angles will be equal.

So, m∠ABC =m∠DAB=72°

Hence, m∠DAB=72°

Simplify (6x^2+11x-3) + (2x^2-17x-4)

Answers

Pick out the like terms. 6x^2 (which equals 36x), 11x, 2x^2 (which equals 4x), -17x.

36+11+4= 51, -17= 34x

-3+-4= -7

The simplified expression would be 34x+-7.

(This could be wrong though, I'm sorry if it is ^^)

The simplified expression would be 34x+-7. hope this helps

Got stuck on this question for awhile Write an expression for the sales tax on a car.

Tax rate is 6%, price is 1000 off the sticker price, $p.

Answers

I believe that you would just add 6% of 1000 to $1000, but you need an expression. Let's try this.
.06*1000=60
That's just the tax. If you need the whole price, use this.
1000+(.06*1000)=$1060
Hope it Helps! :)

8(3a + 7) = 8+3(6a - 6)