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Popular Functions >

range of y=2x^2+20x+53

Solution

range

y = 2 x^{2} + 20 x + 53

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

Vertex of

2 x^{2} + 20 x + 53 :

Minimum

(- 5, 3)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 2,

Vertex

(x_{v}, y_{v}) = (- 5, 3)

f (x) \geq 3

Graph

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Frequently Asked Questions (FAQ)

What is the range of y=2x^2+20x+53 ?
The range of y=2x^2+20x+53 is f(x)>= 3