The general form of a quadratic equation can be expressed as y = ax2 + bx + c. Consider the equation 2x2 + 4x + 3 = 0. Select the word or words and symbol from the list to correctly complete the sentence about the solutions to the equation 2x2 + 4x + 3 = 0. The equation 2x2 + 4x + 3 = 0 has ________________solutions because b2 - 4ac _______ 0.
Question 2
2.
A quadratic function f(x) is graphed in the xy-coordinate plane.
In which quadrant would the vertex of f(x + 3) + 2 be located?
Question 4
4.
A projectile is shot into the air. The altitude of the projectile after t seconds is modeled by the function graphed. Time t is measured in seconds and altitude h(t) is measured in feet.
Which of these statements is true?
Question 5
5.
Use the quadratic equation y = –2x2 + 4x + 5 to complete the statements. Enter your answers in the boxes.
Therefore, the vertex of the graph of the function y = –2x2 + 4x + 5 in the xy-coordinate
Real
No Real
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Determine all zeros for the function f(x) = (x2 + 2x – 8)(x – 6). Select each correct answer.
–48
–8
–6
–4
–2
0
2
4
6
8
48
The projectile is launched from the ground.
The altitude of the projectile is increasing on the interval 5 < t < 20.