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2 years ago

Which is a possible turning point for the continuous function f(x)?

Mathematics

1 answer:

babymother [125]2 years ago

5 0

Answer:

We are given coordinates of a continuous function f(x)

(–2, 0)

(0, –2)

(2, –1)

(4, 0).

We need to find the possible turning point for the continuous function.

Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.

A turning point is always lowest or highest point of the curve (where bump of the graph seen).

For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.

But the coordinate (0, –2) is the lowest point on the graph.

Therefore, (0, –2) is the turning point for the continuous function given.

hoped this was helpful!

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I have no idea how to work out these problems please help

Irina18 [472]

Answer:

I would say the one that says if 300 lunches were served then 40 more students chose pizza over salad. It is either that or the one on top i can't see the graph clearly enough.

Step-by-step explanation:

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3 years ago

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

Vikki [24]

The equation of the circle: $(x-a)^2+(y-b)^2=r^2$

where:
(a; b) - coordinates of the center
r - a radius

Use: $(a\pm b)^2=a^2\pm2ab+b^2\ \ \ \ (*)$

We have:

$x^2-4x+y^2+8y=-4\\\\x^2-2x\cdot2+y^2+2y\cdot4=-4\ \ \ |add\ 2^2\ and\ 4^2\ to\ both\ sides\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=-4+2^2+4^2\\\\(x-2)^2+(y+4)^2=-4+4+16\\\\(x+2)^2+(y-4)^2=16\\\\(x+2)^2+(y-4)^2=4^2$

Answer:
The center: (-2; 4)
The radius: r = 4

7 0

3 years ago

Read 2 more answers

Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the

Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

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2 years ago

Describe how the graph of g(x) is related to the parent function f(x).

Nataly [62]

Answer:

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) = 4x and g(x) = 4x - 2

That is g(x) is the graph of f(x) shifted 2 units down

7 0

3 years ago

Find the height of a parallelogram with an area of 300 square yards and a base of 15 yards

dmitriy555 [2]

Answer:

The formula for the area of a parallelogram is bh.

15(h) = 300

h = 20

The height of the parallelogram is 20 yards.

3 0

3 years ago