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3 years ago

Use the graph of f(x) = x2 to write an equation for the function represented by each graph.

Mathematics

1 answer:

MariettaO [177]3 years ago

7 0

Answer:

y = -(x + 2)² + 1

Step-by-step explanation:

Parent function given in the graph is a quadratic function,

f(x) = x²

Since, graph is opening downwards transformed function of the preimage will be,

g(x) = -x²

This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.

Therefore, rule for the transformation will be,

g(x) → h[(x + 2), (y + 1)]

By this rule transformed function will be,

h(x) = -(x + 2)²+ 1

Equation of the curve will be,

y = -(x + 2)² + 1

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Alekssandra [29.7K]

The answer would be 48 √6

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3 years ago

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If a flight departs fromPittsburgh at 7:55 a.m. andarrives in San Diego at9:20 a.m., how long isthe flight? Use the timezone map

Rudik [331]

If a flight departs from Pittsburgh at 7:55 a.m. and arrives in San Diego at 9:20 a.m.,

How long is the flight?

SOLUTION

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9 months ago

the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)

skelet666 [1.2K]

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = $\frac{2}{3} \pi r^{3}$

1527.4 = $\frac{2}{3} * \frac{22}{7} * r^{3}$

$\frac{7*15274*3}{2*22*10}$ = $r^{3}$

$\frac{320754}{440}$ = $r^{3}$

$r^{3}$ = 729

r = $\sqrt[3]{729}$

r = 9 cm approx.

6 0

3 years ago

To what expression must 5a square-4a+3 be added to make the sum zero??

pychu [463]

Answer:

Step-by-step explanation:

Additive inverse of (5a² - 4a + 3) should be added to make them zero

(5a² - 4a + 3) + (-5a² + 4a - 3)= 5a² - 5a² - 4a + 4a + 3 - 3

= 0

4 0

2 years ago

In her metalwork class, Anja cut a square of

Paul [167]

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

$Area=a^2$

Where, a is the edge of the square.

Area of the smaller square is:

$A_1=(3.7)^2$

$A_1=13.69$

Area of the larger square is:

$A_2=(6.3)^2$

$A_2=39.69$

The area of the remaining tin is:

$A=A_2-A_1$

$A=39.69-13.69$

$A=26$

Therefore, the area of the remaining tin is 26 sq. cm.

8 0

2 years ago