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Diano4ka-milaya [45]
3 years ago
9

Sketch the quadratic function f(x) = x2 + 4x + 3. Which key feature of the graph is given incorrectly?

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Given quadratic function f(x)= x^2+4x+3.

Let us find vertex of the graph first.

x-coordinate of the vertex = -b/2a = -4/2(1) = -4/2 = -2.

y-coordinate of the vertex = (-2)^2+4(-2)+3 = 4-8+3 = -1.

Therefore, vertex is at (-2,-1).

The leading coefficient of quadratic function f(x)= x^2+4x+3 is 1.

And it's a positive number.

So, the parabola open up and it would have a minimum at it's vertex point.

Let us find some more points on the graph :

x=-3

(-3)^2 +4(-3) +3 = 9 -12 +3 =0

x=-1

(-1)^2 +4(-1) +3 = 1 -4 +3 = 0.

<em>From the graph, we can see vertex is at (-2,-1) and x-intercepts at (-1,0), (-3,0) and y-intercept at (0,3).</em>

Therefore, following is the key feature of the graph is given incorrectly:

<h2>B) y-intercept (0, 2) </h2>

horsena [70]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Slove the followings.
DaniilM [7]

2. The number of adults who live in the house is <em>3</em><em> </em>(1,200/400).

3.a. If an adult recycled the <em>glass, paper, and card</em> that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a <em>composite for vegetable and decomposable material</em>, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: brainly.com/question/14954924

7 0
2 years ago
Joyce is training for a race the ratio of the number of minutes she runs to the number of miles she wants is 24 to 3 she plans t
CaHeK987 [17]

Answer:

84

Step-by-step explanation:

6 0
3 years ago
Which pair of values could NOT be the roots of a quadratic polynomial?
DENIUS [597]

Answer:

Part c

Step-by-step explanation:

In quadratic equations of real coefficients, the complex roots always occur in conjugate bases. It means, if, 2 + 3i is one of the roots and then the second root must be 2 - 3i.

7 0
2 years ago
Read 2 more answers
Select the correct answer.
mr Goodwill [35]
I believe its c because that is the suitable answer
6 0
2 years ago
the length of an arc of a circle is 269⁢πcentimeters and the measure of the corresponding central angle is 65∘. what is the leng
scZoUnD [109]

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

                                                  =  269⁢π /(13π/36)

                                                  = 744.92 cm

Learn more about arc length of a circle at brainly.com/question/28108430

#SPJ4

6 0
1 year ago
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