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timofeeve [1]
3 years ago
8

Describe the key features of the graph of the quadratic function f(x) = x2 + 2x - 1 A. Does the parabola open up or down? B. Is

the vertex a minimum or a maximum? C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.
Mathematics
2 answers:
myrzilka [38]3 years ago
7 0
A.) it opens up because it is positive.  B.  The vertex is a minimum, because it opens up C/ The axis of symmetry is X=-1, the Vertex is (-1,-2).  The Y interecept is y= -1
Juliette [100K]3 years ago
4 0

Answer:

A). Parabola Open UP.

B). Vertex is minimum.

C). Axis of Symmetry, y-axis or say line y = -2

     Vertex = ( -1 , -2 )

      y-intercept is ( 0 , -1 ).

Step-by-step explanation:

Given Equation:

f(x) = x² + 2x - 1

We know that given equation is equation of parabola.

We write given equation in standard form of the parabola.

( x - h )² = 4a( y - k )

Consider,

y = x² + 2x - 1

x² + 2x = y + 1

x² + 2x +1² = y + 1 +1²

(x + 1)² = y + 2

So, The Vertex of the given parabola is ( -1 , -2 )

     This parabola is open up. So, the Vertex is minimum.

      Axis of symmetry is Line parallel to y-axis that is y = -2

Part A).

Parabola Open UP.

Part B).

Vertex is minimum.

Part C).

Axis of Symmetry, y-axis or say line y = -2

Vertex = ( -1 , -2 )

Now to find y-intercept put x = 0 in equation of parabola.

We get,

0 + 0 - 1 = y

y = -1

Thus, y-intercept is ( 0 , -1 ).

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zhuklara [117]

Answer:

option d -1 is the answer

7 0
2 years ago
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The volume of a​ cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft​ deep, what is the radius of the​ hole?
True [87]

Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is \pi r^2*\frac{h}{3}

h = 6

V = 50π

2\pi r^2=50\pi

r = 5

8 0
3 years ago
iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee on a 7 hour job and iris charged
Veronika [31]
Based on the given problem above, here is the solution.
Given: Iris's charge: 470
           1 1/5 times her fee: additional hourly rate
           ? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
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5 0
3 years ago
The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and
insens350 [35]

Answer:

Step-by-step explanation:

Formula

A = L * W

Givens

W = W

L = W + 2

Solution

Area = L*W

Area = (W+2)*W = 80            Remove the brackets.

Area = W^2 + 2W = 80         Subtract 80 from both sides.

Area = w^2+2W-80=80-80  Combine

Area = w^2 +2W-80 = 0        Factor.

Area = (w+10)(w - 8) = 0

W + 10 = 0 won't work

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W- 8 = 0

W = 8

L = 8 + 2 = 10

The answer looks like A

8 0
2 years ago
Si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
jenyasd209 [6]

Answer:

67

Step-by-step explanation:

● -(x + 3) + (y - 5) + (z - 6)

● -x - 3 + y - 5 + z - 6

● (-x + y + z) + (3 -5 -6)

● 75 + 3 - 11

● 78 - 11

● 67

8 0
2 years ago
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