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.
Determine all zeros for the function f(x) = (x2 + 2x – 8)(x – 6). Select each correct answer.
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?
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?
The projectile reaches a maximum altitude of 12 feet.
The projectile reaches its maximum altitude after 12 seconds of flight.
The projectile is launched from the ground.
The altitude of the projectile is increasing on the interval 5 < t < 20.
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
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