1. Determine a quadratic function in standard form y = ax^2 +bx+ c. Which has roots −3 ± √2 and passes (−4,3). 2. Determine the value of k so that 3^2 − 5 + = 0 has exactly one root.

3. The height of the rock is given by the equation = −5^2 + 30 + 7 where h is in metres and t is in seconds. (Round your answers to 1 decimal place).
a). What is the initial height?
b). What is the maximum height?
c). When did the rock hit the ground?

4. Suppose a > 0 and c < 0 for the quadratic equation ^2 + + = 0 . Explain why the equation must always have two real roots.

5. Please state the restrictions of the questions, and the rest solve. Please and thank you.

s

step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

the answer is b

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4