What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?The axis of symmetry is x =

Answers

Answer 1

Answer: f ( x ) = - ( x + 9 ) ( x - 21 ) =
= - ( x² - 21 x + 9 x - 189 ) =
= - x² + 21 x - 9 x + 189 =
= - x² + 12 x + 189
This is a quadratic function and its axis of symmetry is:
x = - b / 2a, where: a = - 1 and b = 12
x = - 12 / 2·(-1) = - 12 / (- 2) = 6
Answer: x = 6

Answer 2

Answer:

The axis of symmetry is x = 6

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

Let us now tackle the problem!

An axis of symmetry of quadratic equation y = ax² + bx + c is :

$\large {\boxed {x = (-b)/(2a) } }$

Given:

$f(x) = - (x + 9)(x - 21)$

$f(x) = - (x^2 - 21x + 9x - 189)$

$f(x) = - (x^2 - 12x - 189)$

$f(x) = -x^2 + 12x + 189$

The axis of symmetry is

$x = (-b)/(2a)$

$x = (-12)/(2(-1))$

$x = (-12)/(-2)$

$\large {\boxed {x = 6} }$

Learn more

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number , Axis , Symmetry , Function

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Answers

Answer:

fourth option

Step-by-step explanation:

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127.3 ft

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)

Answers

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