If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)? It is an even function.

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Indeed it is an even function, becasue f(x) = f(-x)

Proof

f(x) = 2x^2 + 1

f(-x) = 2(-x)^2 + 1 = 2x^2 + 1 = f(x)

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What are the answers plz help im failing this class badly plz help plzzzz comeon

igomit [66]

Ok so f(x) and g(x) are the same thing as y. this means that you can solve these equations the same as any other multi-step equation. the only difference is if they have a number other than x in the parentheses. if they have a number you will just replace the x’s in the equation with the number in the parentheses.

example:

regular equation equation with f(4)
f(x)=2x+1 f(4)=2(4)+1

make sure to use pemdas :)

4 0

3 years ago

A soccer ball is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 48t, where t equals the

mamaluj [8]

It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

<h3>What is the axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

1. The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:

$x = \frac{-b}{2a}$

$x = \frac{(-48)}{-2(16)}$

$x = \frac{-48}{-32}$

x = 1.5

We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:

$-16t^{2} +48t = 0$

$-16t(t-3)=0$

t = 0, (t-3) = 0

t = 0, t = 3

From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

To learn more about axis of symmetry from the given link:

brainly.com/question/9444537

#SPJ4