Mathematics, 05.11.2019 09:31 Laylahlettiere

Identify the axis of symmetry and vertex of f(x) = –x^2 –2x–1.

axis of symmetry: x = 1; vertex: (– 1, –1)

axis of symmetry: x = – 1; vertex: (– 1, 0)

axis of symmetry: x = 1; vertex: (1, 0)

axis of symmetry: x = – 1; vertex: ( 1, 0)

solve the equation by factoring.

c^2-4c=0

Answers: 3

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Answer from: singletaryshawp31cmx

Part A) The vertex is the point (-1,0)

Part B) The axis of symmetry is x=-1

Part C) c=0,c=4

Step-by-step explanation:

Part 1)

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

x=h -----> equation of the axis of symmetry

In this problem we have

$f(x)=-x^{2}-2x-1$

Convert to vertex form

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

$f(x)+1=-x^{2}-2x$

$f(x)+1=-(x^{2}+2x)$

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

$f(x)+1-1=-(x^{2}+2x+1)$

$f(x)=-(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)=-(x+1)^{2}$ -----> equation in vertex form

The vertex of the parabola is the point (-1,0)

Is a vertical parabola open downward

The axis of symmetry is equal to

x=-1

see the attached figure to better understand the problem

Part 2) Solve the equation by factoring.

we have

$c^{2}-4c=0$

Factor c

c(c-4)=0

c=0

and

c-4=0 -------> c=4

The solutions are

c=0,c=4

Identify the axis of symmetry and vertex of f(x) = –x^2 –2x–1. axis of symmetry: x = 1; vertex: (

Answer from: Quest

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100 * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

= $25.99 - $6.49

=$19.5

total amount to be paid = $19.5

Answer from: Quest

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: $\sqrt{\frac{ {72x}^{16} }{ {50x}^{{{36} }}}} = \frac{ { \sqrt{72}x}^{ {16}^{ (\frac{1}{2}) } } }{ { \sqrt{50} x}^ {{36}^{ (\frac{1}{2}) } }}$ multiply exponents per exponent rules to get: $\frac{ { \sqrt{72}x}^{8} }{ { \sqrt{50}x}^{18} }$ remember you subtract exponents from the denominator and add exponents in the numerator so: $\sqrt{ \frac{72}{ 50}} \times ( {x}^{(8 - 18) } ) = \sqrt{ \frac{36}{25} } \times ( {x}^{ - 10} )$ simplify further: $\frac{6}{5} {x}^{ - 10} = \frac{6}{5 {x}^{10} }$ so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.
Plz hurrywhat is the simplified form of ? assume x ≠ 0.

Plz hurrywhat is the simplified form of  ? assume  x  ≠ 0.

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Identify the axis of symmetry and vertex of f(x) = –x^2 –2x–1.

axis of symmetry: x = 1;...

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