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