Quadratic Functions
What is the vertex of the graph of y = -x2?
(-1, 0) (0, -1) (0, 0) (1, 1) C, (0, 0)
The axis of symmetry of a quadratic equation is x = -3. If one of the zeroes of the equation is 4, what is the other zero?
-10 -7 -6 -4 A, -10
Which function is a quadratic function?
c(x) = 6x + 3x^3 d(x) = x - 8x^4 p(x) = -5x - x^2 k(x) = 2x^2 + 9x^4 C, p(x) = -5x - x^2
Which function is a quadratic function?
h(t) = 12 - 8t + 6t^3 g(t) = 7t^2 + 3t^3 + 2t k(t) = 3t^4 + 3t^2 + 4 h(t) = 12 - t + 6t^2 D, h(t) = 12 - t +6t^2
The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the vertex of the quadratic function represent?
the minimum height of the baseball. the time at which the baseball hits the ground. the time at which the baseball hits the maximum height. the maximum height of the baseball. D, the maximum height of the baseball.
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the minimum width that can be used for the fencing. the maximum area that can be enclosed by the fencing. the width that gives the maximum area. the length that gives the maximum area. NOT D, the length that gives the maximum area.
The height of an arch is modeled by the equation y = -x^2 - 6x + 16. Which of the following gives the width of the arch at its base?
the y-coordinate of the vertex. double the x-coordinate of the vertex. the y-intercept of the equation. the difference between the zeroes. D, the difference between the zeroes.
Which function is a quadratic function?
u(x) = -x + 3x^2 - 8 v(x) = 2x^2 + 8x^3 + 9x y(x) = x^2 + 3x^5 + 4 z(x) = 7x^2 + 2x^3 - 3 A, u(x) = -x + 3x^2 - 8
What is the vertex and the equation of the axis of symmetry of the graph of y = x^2 - 6x - 7?
vertex: (-16, 3) a.o.s: x = -16 vertex: (-3, 20) a.o.s: x = -3 vertex: (3,-16) a.o.s: x = 3 vertex: (20, -3) a.o.s: x = 20 C, vertex: (3,-16) a.o.s: x = 3
What is the axis of symmetry for the graph of y - 4x = 7 - x^2 ?
x = 2 y = 2 x = 11 y = 11 A, x=2