Se lanza un objeto desde una plataforma.
Su altura (en metros), xxx segundos después del lanzamiento, está modelada por:
h(x)=-5x^2+20x+60h(x)=−5x
2
+20x+60h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 20, x, plus, 60
¿Cuál es la altura del objeto en el momento del lanzamiento?

The height of the object at launch is 60 meters.

Step-by-step explanation:

The question is:

An object is thrown from a platform.  Its height (in meters), x seconds after launch, is modeled by h (x) = - 5x^2 + 20x + 60. What is the height of the object at launch?

Solution:

The equation representing the height of the object x seconds after launch from the platform is:

In this case we need to compute the height of the object at launch, i.e. the height of the object at x = 0 seconds.

Compute the height of the object at x = 0 seconds as follows:

Thus, the height of the object at launch is 60 meters.

-6 is the correct option from the above given options

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.