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3 years ago

Y=-|x-5| What is the axis of symmetry?

Mathematics

2 answers:

zloy xaker [14]3 years ago

6 0

The axis of symmetry would be x=5

egoroff_w [7]3 years ago

3 0

Answer:

The equation given to us is in the Standard form

where

and

−

The Axis of Symmetry is given by the formula

−

⋅

is the Axis of Symmetry of the Parabola with the equation

−

Step-by-step explanation:

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

Hii. if Lisa was going 9.2 miles from the store to her friends house then 7.9 to her grandmas house before going 5 miles to her

STALIN [3.7K]

Answer:

¹9.2

+7.9

¹ 17.1

+5.0

22.1

21.1 miles

4 0

2 years ago

Cos^2 2x−cos^2 6x=sin4x sin8x please help me prove it

Olin [163]

Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer

4 0

2 years ago

Solve asap: 3(2y+10)=54 Within 10 mins pls 8th grade

inna [77]

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

7 0

3 years ago

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Anastasy [175]

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7 0

2 years ago