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3 years ago

Priscilla graphed function g, a transformation of the quadratic parent function f(x)=1/2f(x+2)-1 which statement is correct?

Mathematics

2 answers:

Serga [27]3 years ago

6 0

Answer:

Step-by-step explanation:

A.)Priscilla made a mistake when applying the horizontal shift. That "x+2" indicates a horiz. shift to the LEFT, not to the right.

Brums [2.3K]3 years ago

4 0

Answer:

Option A.

Step-by-step explanation:

Priscilla graphed function g(x), a transformation of the quadratic parent function f (x) = $\frac{1}{2}$ f ( x+2 ) - 1

(1) She graphed the vertical compression correctly

(2) Priscilla graphed the vertical shift of (-1) means 1 unit downwards on y-axis correctly.

(3) In the last she made a mistake because for f(x+2) the parent function should have been shifted left on x-axis by two units f (x) ⇒ f[ x- (-2)]

Therefore Option A will be the answer.

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Its just the domain and range you dont have to show work

Viktor [21]

Answer:

Domain: -2≤x≤2

Range: -2≤y≤2

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3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

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4 years ago

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user100 [1]

Suppose x is the total cost for the first purchase, cost of the bread = b and cost of the milk = m
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4 years ago

Read 2 more answers

A simple model of the core of a tornado is a right circular cylinder that rotates about its axis. If a tornado has a core diamet

mihalych1998 [28]

Answer:

26.3 rev/min

Step-by-step explanation:

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ω = 2π*f

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f = 26.3 rev/min

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3 years ago

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