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PolarNik [594]
3 years ago
11

What is the vertex of the graph of y = 3x2 + 2x + 1?

Mathematics
2 answers:
Effectus [21]3 years ago
8 0
We have that
y = 3x²<span>+ 2x + 1

step 1
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y -1= (3x²+ 2x)

step 2

Factor the leading coefficient

y -1= 3*(x²+ 2/3x)

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))

y-2/3=3*(x+2/6)²

the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)

the answer is

(-0.33,0.67)

Drupady [299]3 years ago
4 0

Answer:

B (-1/3,2/3)

Step-by-step explanation:

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8 0
3 years ago
Please this is urgent
joja [24]
4 & 9 LCM - 36
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4 0
2 years ago
In Exercise sketch the graph of the function.<br> f(x) = ex + 2
earnstyle [38]

Answer:

slop of e

y - intercept 2

x- intercept -0.735

Step-by-step explanation:

The value of e is 2.72 and this is the slope of the graph with a y intercept of:

y=0+2

y=2

and an x intercept of:

0=ex+2

x=-2/e=-0.735

The graph is attached with the x and y intercepts

6 0
4 years ago
Standard form of -1,-10 and 7,-11
diamong [38]

Answer:

Negative one,negative ten

positive seven,negative eleven

8 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
Aleks [24]

The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)

<h3>Midpoint of coordinate points</h3>

The midpoint of a line is the point that bisects or divides the line into two equal parts

If the line JK is partitioned into the ratio 1:4 with the following coordinates

J(-15, -5) and K(25, 15)

Using the expression below;

M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]

Substitute the ratio and the coordinates

M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]

M(x, y) = [(85)/5, 55/5]

M(x, y) = (17, 11)

Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)

Learn more on midpoint of a line here: brainly.com/question/5566419

#SPJ1

3 0
2 years ago
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