7.01 Characteristics of quadratic functions
Interactive practice questions
Consider the graph of the function.
How many $x$x-intercepts are there for the function?
One
Two
Three
None
Determine the domain.
$\left[-2,\infty\right)$[−2,∞)
$\left[-2,6\right]$[−2,6]
$\left(-\infty,6\right]$(−∞,6]
$\left(-\infty,\infty\right)$(−∞,∞)
Determine the range.
$\left(-\infty,4\right)$(−∞,4)
$\left[4,\infty\right)$[4,∞)
$\left(-\infty,\infty\right)$(−∞,∞)
$\left(-\infty,4\right]$(−∞,4]
Consider the parabola $y=-\left(x-4\right)\left(x-6\right)$y=−(x−4)(x−6)
Consider the parabola $y=x^2+6x+9$y=x2+6x+9.
A toy rocket is launched from a platform, and its path is modeled by the function $f\left(x\right)=-x^2+2x+3$f(x)=−x2+2x+3, where $f\left(x\right)$f(x) is the height of the rocket in feet above the ground, and $x$x is the horizontal distance in feet from the launch point.