Mathematics, 08.09.2020 02:01 cdavis379

Select all the transformations of f(x) = x2 that combine to result in the graph of function g below. A parabola with vertex negative 1 comma negative 2 that opens downward. The graph passes through the points negative 3 comma negative 3 and 1 comma negative 3. Group of answer choices reflection across the x-axis translation of 2 units down translation of 1 unit left translation of 2 units up vertical stretch by a factor of 2 horizontal stretch by a factor of 2 translation of 1 unit right

Select all the transformations of f(x) = x2 that combine to result in the graph of function g below

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Answer from: itsgiovanna

Using translation concepts, it is found that these following transformations happened:

Reflection across the x-axis.Translation of 1 unit left.Translation of 2 units down.

The parent function y = x^2 points upward and has vertex at (0,0).

In the graph, the parabola points downward, so it was reflected across the x-axis.The x-coordinate of the vertex of the shifted function is -1, thus it was translated 1 unit to left.The y-coordinate of the vertex of the shifted function is -2, thus it was translated 2 units down.

A similar problem is given at link

Answer from: rileu2661

Step-by-step explanation:

Equation of a parabola is represented by,

f(x) = -a(x - h)² + k [Parabola opening downwards]

where (h, k) is the vertex of the parabola.

Picture attached shows the vertex as (-1, -2)

Therefore, equation of the transformed parabola will be,

f(x) = -a(x + 1)²- 2

Since the given parabola passes through a point (1, -3)

-3 = -a(1 + 1)² - 2

-1 = -4a²

a = $\sqrt{\frac{1}{4} }$

a = $\frac{1}{2}$

Therefore, equation of the transformed function will be,

f(x) = $-\frac{1}{2}(a+1)^2-2$

If the original or parent function is g(x) = x²,

Transformed function will have the following characteristics,

1). Function will have vertex as (-1, -2) opening downwards.

2). Graph passes through (-3, -3) and (1, -3).

3). Reflection across x-axis.

4). Translation of 2 units down and 1 unit to the left.

5). Horizontal stretch by a factor of 2.

Answer from: Quest

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

Answer from: Quest

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

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Select all the transformations of f(x) = x2 that combine to result in the graph of function g below....