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bekas [8.4K]
3 years ago
5

F(x)=-1/2(x-2)^2-4 Graph the function

Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

  see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

  • the vertex is (2, -4)
  • the vertical scale factor is 1/2
  • the parabola opens downward

Vertex form is ...

  f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

__

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

  vertex: (2, -4)

  1 unit either side of the vertex: (1, -4.5), (3, -4.5)

  2 units either side of the vertex: (0, -6), (4, -6)

  3 units either side of the vertex: (-1, -8.5), (5, -8.5)

  4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.

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Sonia is creating a visual diagram to show the relationship between rational numbers and integers. She draws it to show that som
Nimfa-mama [501]
She is not correct. All integers are rational numbers. 

3 0
3 years ago
Describe and correct the error a student made in finding the midpoint of CD with ​C(​4,5) and ​D(​1,​4).
Andru [333]

Using the given information, the midpoint of CD is (2.5, 4.5)

<h3>Midpoint of a line </h3>

From the question, we are to determine the midpoint of line CD

The midpoint of a line is given by the formula,

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

From the given information, we are to find the midpoint of line CD with coordinates C(​4,5) and ​D(​1,​4)

∴ x₁ = 4

x₂ = 1

y₁ = 5

y₂ = 4

Putting the parameters into the formula for midpoint, we get

[(x₁ + x₂)/2 , (y₁ + y₂)/2]

[(4 + 1)/2 , (5 + 4)/2]

(5/2 , 9/2)

(2.5, 4.5)

Hence, the midpoint of CD is (2.5, 4.5)

Learn more on Midpoint of a line here: brainly.com/question/896396

#SPJ1

6 0
2 years ago
Nevermind, the question has been solved.
san4es73 [151]

okay.... I guess??? lol

7 0
3 years ago
Read 2 more answers
QUESTION 2
gregori [183]

Answer:

Step-by-step explanation:

ppleasepplease share the answers when got them

3 0
2 years ago
Please help due today
umka21 [38]

Answer:

y=2 x=3 i think

Step-by-step explanation:

2y+3=y+5

y=5-3

y=2

4x-3=4y+1

4x-3=4×2+1

4x-3=9

4x=9+3

4x=12

x=12/4

×=3

3 0
2 years ago
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