All categories

2 years ago

What is the equation for the axis of symmetry for this quadratic function

Mathematics

2 answers:

hammer [34]2 years ago

7 0

Answer: x = -2

Step-by-step explanation: That axis of symmetry is the

fold line or the line that splits the parabola down the middle.

The line that makes this parabola symmetrical is x = -2.

So our axis of symmetry is x = -2.

An easy way to find it is average the zeros (x-intercepts) and multiply by 1/2.

So here, -4 + 0 is -4 and -4(1/2) is -2.

Lady bird [3.3K]2 years ago

3 0

Answer:

The answer to your question is x = -2

Step-by-step explanation:

Process

Identify the kind of curve. This is a vertical parabola that opens upwards.

The axis of symmetry is the line that divides the parabola into two identical sections.

This line must be a vertical line that passes through the Vertex.

The Vertex is the lowest point of the parabola. Vertex = (-2, -4).

Then, the axis of symmetry must be x = -2

You might be interested in

What's the ratio as a fraction in simplest for. 15:6

stira [4]

Hey there,
15 : 6
It can be simplified by dividing both numbers by 3
15 : 6
5 : 2

Hope this helps :))

~Top♥

4 0

3 years ago

An equation that shows the relationship of 30% of x is 40

Tresset [83]

What do you mean? Try to explain

5 0

2 years ago

Read 2 more answers

Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a

Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

$P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\$

The z-score corresponding to 0.78 from the z-table is 0.7823

$P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%$

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0

2 years ago

The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter

777dan777 [17]

Answer: The answer is 8.8 pounds per litre. I just helped you, what’s your name and how are you? Mines is very good. :)

Step-by-step explanation:

6 0

2 years ago

Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?

ivanzaharov [21]

The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
 The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined.

4 0

2 years ago