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4 years ago

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

Mathematics

2 answers:

tangare [24]4 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.

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).

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

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

horsena [70]4 years ago

3 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Explain how to graph y= -3/2 x + 4

alisha [4.7K]

Answer:

y = 3 x - 4

Step-by-step explanation:

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2 years ago

What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

3 years ago

In the spinner below, what is true about the probability of landing on 3 and the probability of landing on 4?

Karo-lina-s [1.5K]

Answer:

C.The probabilities are equal.

The above statement is the only TRUE statement.

Step-by-step explanation:

Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}

So, number of total outcomes = 10

Let E : Event of spinner landing on 3

and E' : Even of spinner landing on 4

{Probability of Event E} = $\frac{\textrm{Total number of favorable outcomes}}{\textrm{Toatl outcomes}}$

$\implies P(E) = \frac{1}{10}$

⇒ P( landing on 3 ) = 1/10

and $P(E') = \frac{1}{10}$

P( landing on 4 ) = 1/10

Now, the given statements are

A.The probability of landing on 3 is less than probability of landing on 4.

FALSE, as both the probabilities are equal to 1/10.

B.The probability of landing on 3 is greater than probability of landing on 4.

FALSE, as both have same probabilities.

C.The probabilities are equal.

TRUE, both have same probability = 1/10

D.The probabilities cannot be predicted

FALSE, the probability are predictable.

3 0

3 years ago

Read 2 more answers