QUESTION 1
The given function is
![y = - 6x - 13](/tpl/images/0500/8990/46269.png)
The domain of this function refers to all values of x for which y is defined.
The given function is defined for all real values of x.
The domain is all real numbers.
The correct answer is A
QUESTION 2
The equation in column 1 is
![y = - 2 {x}^{2} - 4x + 12](/tpl/images/0500/8990/952fb.png)
We obtain the vertex form as follows;
![y = - 2( {x}^{2} + 2x) + 12](/tpl/images/0500/8990/4c17f.png)
![y = - 2( {x}^{2} + 2x + {1}^{2}) - - 2 {(1)}^{2} + 12](/tpl/images/0500/8990/97d4c.png)
![y = - 2({(x + 1)}^{2}) + 2 + 12](/tpl/images/0500/8990/6929f.png)
![y = - 2({x + 1)}^{2} + 14](/tpl/images/0500/8990/71607.png)
The x-value of the vertex is -1.
The equation in column 2 is
![y = {x}^{2} - 4x + 3](/tpl/images/0500/8990/aaa8e.png)
We can also find the x-value of the vertex using the formula,
![x = - \frac{b}{2a}](/tpl/images/0500/8990/a5f41.png)
![x = - \frac{ - 4}{2(1)}](/tpl/images/0500/8990/94c65.png)
![x = 2](/tpl/images/0500/8990/53319.png)
The correct answer is
B) The value found in column #1 is less than the value found in column #2
QUESTION 3
The height of the ball is modeled by
![h(t) = - 16 {t}^{2} + 64t](/tpl/images/0500/8990/49d1b.png)
where t equals the time in seconds and h(t) represents the height of the ball at time t seconds.
The axis of symmetry can be found using the formula,
![t = - \frac{b}{2a}](/tpl/images/0500/8990/6d7a5.png)
![t = - \frac{ 64}{2( - 16)}](/tpl/images/0500/8990/dc2f1.png)
![t = 2](/tpl/images/0500/8990/dcf78.png)
The correct answer is
A) t=2; it takes 2 seconds to reach maximum height and 2 seconds to fall back to the ground
QUESTION 4
The equation of axis of symmetry is given by the formula,
![x = - \frac{b}{2a}](/tpl/images/0500/8990/a5f41.png)
For the axis of symmetry of a given quadratic function to be zero, then the b-value of quadratic function should be zero.
The only equation from the given options whose b-value is zero is
![y = {x}^{2} + 2](/tpl/images/0500/8990/60c99.png)
The axis of symmetry is
![x = - \frac{0}{2(1)}](/tpl/images/0500/8990/91acf.png)
![x = 0](/tpl/images/0500/8990/b17a9.png)
The correct answer is C