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Mathematics

Grade10

Easy

Question

The graph of 2x² + 5x + 3 has axis of symmetry as _________.

y = 13
y = 2
x = $- \frac{5}{4}$
x - axis

The correct answer is: x = $blank minus fraction numerator 5 over denominator 4 end fraction$

The axis of symmetry is $x equals negative fraction numerator b over denominator 2 a end fraction$
2x² +5x +3 =0
comparing with general equation : ax² +bx +c =0
a =2 ; b=5 ; c=3
axis of symmetry will pass through the vertex.
The x coordinate of the xertex = $fraction numerator negative b over denominator 2 a end fraction equals fraction numerator negative 5 over denominator 2 left parenthesis 2 right parenthesis end fraction equals fraction numerator negative 5 over denominator 4 end fraction$
x= $fraction numerator negative 5 over denominator 4 end fraction$ is the axis of symmetry
$x equals negative fraction numerator 5 over denominator 4 end fraction$

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