3.1 Quadratic functions practice 1

Which of the following quadratic functions has/have maximum?

Let [math]f(x)[/math] be a quadratic function with [math]y[/math]-intercept [math]6[/math]. If [math]1[/math] and [math]5[/math] are the [math]x[/math]-intercepts of [math]f(x)[/math], what is the equation of [math]f(x)[/math]?

The figure below shows the graph of quadratic function [math]f(x)=ax^2+bx+c[/math] where [math]a, b[/math], and [math]c[/math] are constants. The value of [math]a+b+c[/math] is

Let [math]f(x)=a(x-p)(q-x)[/math] be a quadratic function where [math]a, p, q\in\mathbb{R}[/math] and [math]a\neq0[/math]. Which statement(s) is/are true?

Let [math]f(x)[/math] be a quadratic function. Suppose the [math]y[/math]-intercept of [math]f(x)[/math] is 0 and [math]x=-8[/math] is the axis of symmetry. Find the nonzero [math]x[/math]-intercepts of [math]f(x)[/math].

Let [math]f(x)[/math] be a quadratic function with vertex [math](1,-2)[/math]. Suppose both the [math]x[/math]-intercepts of [math]f(x)[/math] are positive. Which quadrant does the function [math]f(x)[/math] fail to pass?

If quadratic function [math]f(x)[/math] has only one [math]x[/math]-intercept [math]-1[/math], which of the following equations could be [math]f(x)[/math]?

The figure below shows the graph of [math]f(x)=ax^2+bx+c[/math] where [math]a, b[/math], and [math]c[/math] are constants. What is the value of [math]a[/math]?

Which of the following descriptions is incorrect about [math]g(x)=-3x^2+4[/math]?

Given [math]f(x)=-5(x-4)^2+1[/math], which of the following is the function after vertically shifting [math]f(x)[/math] down by 10 units and horizontally shifting [math]f(x)[/math] to the left by 2 units?