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2 years ago

9

The graph of f(x) shown below

1 answer:

bonufazy [111]2 years ago

7 0

Answer:

C

Step-by-step explanation:

the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.

so, we need a positive sign for the x term.

and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.

therefore, the ...(x-3)... expression is right.

so, positive sign and "(x-3)" is only in C.

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A student claims that 8^3 x 8^-5 is greater than 1. Explain whether the student is correct or not.

nlexa [21]

Remember:
a^m * a^n=a^(m+n)
a^-m=1/a^m

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3 years ago

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Step-by-step explanation:

1. Arrange all the numbers in ascending order.

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5 0

3 years ago

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Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

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3 years ago

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VashaNatasha [74]

Answer:

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step by step explanation

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3 years ago

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White raven [17]

Answer:

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