Which statement is true for the quadratic function, y= -2x2 - 12x- 17? Use the online calculatore.e o It has a minimum function value - 1. o It has a maximum function value - 1. o It has a maximum function value = -3. o It has a minimum fúnction value -3.

Which statement is true for the quadratic function, y= -2x2 - 12x- 17? Use the online calculatore.e o It has a minimum function value - 1. o It has a maximum function value - 1. o It has a maximum function value = -3. o It has a minimum fúnction value -3.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section8.3: Graphing F(x)=ax2+bx+c

Problem 2E

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Question

Which statement is true for the quadratic function, y= -2x2 - 12x- 17?
Use the online calculatore.e
o It has a minimum function value - 1.
o It has a maximum function value -
1.
o It has a maximum function value = -3.
o It has a minimum fúnction value -3.

Expert Solution

Step 1

We have the given quadratic function as

$y = - 2 x^{2} - 12 x - 17 \dots \dots (1)$

For maximum/minimum value of the function, we need to calculate first derivative of the function.

On differentiating both of the side of equation (1) with respect to x, we get the result as

$\frac{d y}{d x} = - 4 x - 12 \dots \dots (2)$

For critical points $\frac{d y}{d x} = 0$ , therefore

$\begin{array}{rcl} - 4 x - 12 & = & 0 \\ x + 3 & = & 0 \\ x & = & - 3 \end{array}$

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