Consider the function f(x)=x^2 . What effect does adding 2 to the input have on the graph of the function?

Answers

Answer 1

Answer: The whole function will move upwards 2 units

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Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

Answers

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than what it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than what it was that morning. What was the temperature at the base camp Friday evening?

Answers

The temperature at the base camp on Friday evening was -6°C

The temperature at a mountain base on Thursday = -2°C

On Friday morning, the temperature was 1 degree Celsius lower than what it was on Thursday, hence:

The temperature at a mountain base on Friday morning = -2°C - 1°C = -3°C

By Friday evening, the temperature was 3 degrees Celsius lower than what it was that morning.

The temperature at a mountain base on Friday evening = -3°C -3°C = -6°C

The temperature at the base camp on Friday evening was -6°C

Find out more at: brainly.com/question/18099478

Answer:

-6

Step-by-step explanation:

starts at -2

then drops -1

and lastly drops -3

which leaves you at -6 degrees Celsius

A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed

Answers

Answer:

29.03 cm

Step-by-step explanation:

Step one:

given

A rectangular block of metal is

25cm long

11cm wide and

9cm high.

The volume of the block is

= 25*11*9

= 2475cm^3

Required

The dimension of an equivalent cube

we know that volume of cube

v=l^3

24475=l^3

cube root both sides

l= ∛24475

l= 29.03 cm

Answer:

13.5cm

Step-by-step explanation:

Tried the other answer and got it wrong and saw the right one.

Use the number line to model why -7+3=-4

Answers

-7 -6 -5 -4 -3 -2 -1 0 1 2 3

There is a number line

Start on -7 and move forward 3
-6 -5 -4
Therefore yoy are left on -4

At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tree.

Answers

Answer:

7 feet

Step-by-step explanation:

(3h + 4)² = 24² + h²

9h² + 24h + 16 = 576 + h²

8h² + 24h - 560 = 0

h² + 3h - 70 = 0

(h + 10)(h - 7) = 0

h = 7' (h cannot be -10)

What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?a = 2, b = 4, c = 3

a = 2, b = 4, c = –3

a = –2, b = 4, c = 3

a = –2, b = 4, c = – 3

Answers

If you would like to find the values of a, b, and c in the quadratic equation, you can do this using the following steps:

ax^2 + bx + c = 0
-2x^2 + 4x - 3 = 0
a = -2
b = 4
c = -3

The correct result would be a = –2, b = 4, c = – 3.

Final answer:

The values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0 are: a = -2, b = 4, and c = -3.

Explanation:

The values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0 are:

a = -2

b = 4

c = -3

In a quadratic equation in the form ax^2 + bx + c = 0, the coefficients a, b, and c represent different values. In this equation, -2 is the coefficient of the x^2 term, 4 is the coefficient of the x term, and -3 is the constant term.

Learn more about Quadratic Equations here:

brainly.com/question/30098550

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