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3 years ago

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Given that the graph of the quadratic function.

We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.

<u>Vertex:</u>

The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.

Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.

Therefore, the vertex of the graph is (0,-2)

<u>Minimum or maximum value:</u>

When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.

Thus, the graph has a minimum value.

Hence, the vertex of the graph is (0,-2); minimum value.

Therefore, Option A is the correct answer.

You might be interested in

Write the equation of the parabola in vertex form.

givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

3 0

3 years ago

What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

4 0

3 years ago

Read 2 more answers

How do I solve this problem?

Brrunno [24]

A. x=the cost of one lunch. 60.25=5x+3(x-5.25)

b. 60.25=5x+3x-15.75 60.25+15.75=8x-15.75+15.75

76=8x 76/8=8x/8 9.50=x

A lunch is $9.50. If you are not sure, check my answers. Hope this helped.

8 0

3 years ago

Solve for x: x/7 - 3 ≥ 8.

stellarik [79]

Answer:

x is more than or equal to 77

Step-by-step explanation:

5 0

3 years ago

A coordinate map of the local grocery store is shown below. Hot dogs are located at the point (6,4) Mustard is located at the po

deff fn [24]

The distance between the 2 locations = 7 units

Step-by-step explanation:

Step 1:

Given,

Location of Hot dogs = (6,4)

Location of Mustard = (6,-3)

We need to find the distance between the two locations

Step 2:

Since the x coordinates of both the location are the same , they lie in the same line.

The first location is 4 units above the x axis and the second location is 3 units below the x axis.

Hence the distance between the 2 locations 4-(-3) = 7 units

Step 3 :

Answer :

The distance between the 2 locations = 7 units

8 0

3 years ago