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a_sh-v [17]
2 years ago
5

Solve this I need it solved

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0

Answer:

option 3

Step-by-step explanation:

Standard \ quadratic \ equation : ax^2 + bx +c

Larger the value of  '' a '' makes the parabola narrow.

A positive value of '' a '' which is close to 0 makes the parabola wide.

<em><u>To find the widest graph , find the smallest </u></em><em><u>a</u></em><em><u>. (or </u></em><em><u>a</u></em><em><u> closest to zero)</u></em>

option 1

     a_1 = \frac{1}{3}

option 2

     a_2 = - \frac{4}{5}

option 3

     a_3 = 0.3 = \frac{3}{10}

option 4

     a_4 = -4

Positive and negative value of ' a ' decides the direction the parabola opens.

But we have to find the widest parabola irrespective of the direction.

So we will find the smallest  ' a '

                                a_1 = 0.33\\a_2 = 0.80\\a_3 = 0.30\\a_4 = 4

a_3 \ is \ the \  smallest \  number \  or\ \\ the \  number \  closest \  to\  zero.\\\  so \  option \ 3 \ makes\  the\  widest \ parabola.

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