willmrjames willmrjames
  • 03-01-2019
  • Mathematics
contestada

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? (1 point) x = −2 x = −1 x = 1 x = 2

Respuesta :

mathecoach
mathecoach mathecoach
  • 03-01-2019

Answer:

y = 2x^2 − 4x + 5

y = 2(x^2 − 2x) + 5

y = 2(x^2 − 2x + 1 - 1) + 5

y = 2(x^2 − 2x + 1) + 5 - 2

y = 2(x - 1)^2 + 3

x = 1 is the axis of symmetry.

Do you agree?



Answer Link
lily9211
lily9211 lily9211
  • 03-01-2019

Answer:

x = 1

Step-by-step explanation:

To find the axis of symmetry use the formula: x = -b/2a. In the quadratic equation of 2x^2 - 4x + 5:

  • a = 2
  • b = -4
  • c = 5

Substitute a and b into the formula.

x = -(-4)/2(2)

This simplifies to 4/4, which is then simplified to 1.

Therefore the axis of symmetry is x = 1.

Answer Link

Otras preguntas

Which is a statement that summarizes a pattern found in nature A. A hypothesis B. A scientific law C. A fact D.a scientific theory
how much time does it take for a bird flying at a speed of 45 km per hour to travel distance of 1800 km
In a police chase on the interstate, the suspect’s car reached a speed of 88 miles per hour for a total 15 minutes. In that time, how many miles did the chase
How do you do this please help
A. How quickly money can be exchanged
give one reason people living in mongolia might have often attacked china.
what are the 5 conditions for genetic equilibrium related to the Hardy-Weinberg principle
I need answers please
What is the gravitational potential energy of a book with a mass of 0.3 kg on a 1.0 high desk? 3.0 J 30J 0.3J
Greek and Roman influences in Washington D.C