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3 years ago

Which functions are symmetric with respect to the y axis

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

Answer:

A, B, and D

Step-by-step explanation:

Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .

Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.

Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.

In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.

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Write the equation in slope-intercept form. y + 2 = 3(x - 4)

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Answer: y=3x-14

Step-by-step explanation:

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3 years ago

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

$f(x) = x^3 - 2x^2 - 3x + 6$

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: $f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0$

------------------------------

Function 1:

$f(x) = x^3 - 2x^2 - 3x + 6$

Testing the values:

$f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0$

$f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0$

$f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0$

Thus, since all three conditions are satisfied, $f(x) = x^3 - 2x^2 - 3x + 6$ is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0

3 years ago

Paul baked 56 blueberry muffins. His brother Pete ate 7 muffins and his father William ate 5 muffins. Which expression can Paul

Natasha_Volkova [10]

Answer: 56-(7+5)

Step-by-step explanation:

You can find the amount of muffins left over by adding up the amount of muffins that were eaten and subtracting them from the original amount of blueberry muffins, so the answer is 56-(7+5).

(7+5 is in parentheses because if not, you would have 56-7+5 and get 54).

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3 years ago

en el año 5 antes de Cristo, un chico cumplió 13 años.¿en qué año nació?, ¿en qué año nació su madre si lo tuvo con 22 años?

ki77a [65]

Answer:

El chico nació en el año 18 antes de cristo.

La madre nació en el año 40.

Step-by-step explanation:

Las respuestas son fáciles:

- Si en el año 5, el hijo tiene 13 años, hagamos que a partir del año 0 después de cristo sea positivo.

-13-(-5) = -18

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-18-22 = -40

Entonces, su edad debería ser negativa, simplemente cambiamos el símbolo y lo pasamos a positivo.

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2 years ago

Which functions are symmetric with respect to the y axis​

Which functions are symmetric with respect to the y axis