Correct answer only ! graph h(x) = -x^2 + 3

 Vertex (0, 3)     2nd Point (1, 2)

Step-by-step explanation:

h(x) = -x² + 3 is in standard form.

The Axis Of Symmetry can be found by using the formula:

h(x) = -1(x²) + 0(x) + 3   ⇒ a= -1, b= 0, c= 3

Plug the x-value into the equation to find the y-value of the vertex:

y = -(0)² + 3

  = 3

So,  the vertex is (0, 3)

To find a 2nd point, choose any value for x and plug it into the equation to find the y-value: I choose x = 1

y = -1(1)² + 3

 = -1 + 3

 = 2

So, the 2nd point is (1, 2)

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.