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Andru [333]
3 years ago
8

Could someone answer and explain these to me? That would be great, thanks!

Mathematics
2 answers:
Flura [38]3 years ago
6 0

Answer:

y=-x^2

Step-by-step explanation:

given that y = x^2 is the function.

For equivalent to -y, we can multiply this equation both the sides by -1

We get -y = -x^2

Hence option G is right.

Also y =x^2 is a parabola with vertex at origin open up.

Hence if F is selected we get -y =(-x)^2 = x^2, this will make the parabola open down and hence this option is wrong.

H: -y=-x is wrong because this represents a line but we had original equation as that of a parabola

J) -y = x^(-2) means x^2y =-1

This implies that rate of change of y = 2/x^3 but rate of change of y has to equal 2x since y = x^2 is original. Hence only option G is right.

pav-90 [236]3 years ago
6 0

These are two questions and two answers.


Question 1. When y = x², which of the following expressions is equivalent to - y?


Answer: the option G. -x².


Explanation:


The important thing is to be careful with the use of the negative sign before the function because a typical mistake is to incorporate the negative sign inside the parentheses, which yields to square it resulting, mistakenly, in a positive value.


The correct steps are:


  • Given y = x², find - y
  • Muliply both sides of the equation by - 1: - y = - (x²)
  • Delete the negative sign before the parentheses: - y = - x².

So, the answer is the option G.


Question 2. For the function h(x) = 4x² - 5x, what is the value of h(-3)?


Answer: option D. 51


Explanation:


Since, you have the explicit function h(x), to find h(-3), you just must subsititute the variable x with -3.


This is how you do it:


  • Given: h(x) = 4x² - 5x
  • Find h(-3) ⇒ substitute x = - 3
  • h(-3) = 4(-3)² - 5(-3) = 4(9) + 15 = 36 + 15 = 51 ← answer (option D.)
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