Standard Factored and Vertex

The factored form of a quadratic function is best for determining: NOTE THAT THERE IS MORE THAN ONE CORRECT CHOICE. Hint: Factored form is $$y=a\left(x-c\right)\left(x-d\right)$$ where $$c$$ and $$d$$ are the x-intercepts of the quadratic. To find x-intercepts (also called roots, solutions, or zeros), we would either use the factored form of the quadratic function or use the quadratic formula if the quadratic doesn't factor into the product of linear expressions. To find y-intercepts, we substitute $$0$$ for $$x$$  then solve for $$y$$ . To find the vertex of the parabola, we need vertex form which is $$y=a\left(x-h\right)^2+k$$ .

Given the vertex form of a quadratic function is $$y=5\left(x-4\right)^2+3$$ , determine the vertex of the parabola which represents this quadratic function.

Hint: The vertex form of a quadratic function is $$y=a\left(x-h\right)^2+k$$ where $$\left(h,\ k\right)$$ is the vertex of the parabola which represents the quadratic function. Notice that $$h$$ is the number subtracted from $$x$$ , while $$k$$ is the number added to the quadratic expression.

Given the factored form of a quadratic function is $$y=2\left(x-3\right)\left(x-8\right)$$ , determine the x-intercepts (also known as roots, solutions, or zeros) of the parabola which represents the quadratic function. Hint: The factored form of a quadratic is $$y=a\left(x-c\right)\left(x-d\right)$$ where $$c$$ and $$d$$ are the x-coordinates of the x-intercepts of the parabola representing the quadratic function. Notice that $$c$$ and $$d$$ are the values being subtracted from $$x$$ in the linear factor expressions. The y-coordinate of any x-intercept must be $$0$$ .

Given the factored form of a quadratic function is $$y=2\left(x+3\right)\left(x+8\right)$$ , determine the x-intercepts (also known as roots, solutions, or zeros) of the parabola which represents the quadratic function. Hint: The factored form of a quadratic is $$y=a\left(x-c\right)\left(x-d\right)$$ where $$c$$ and $$d$$ are the x-coordinates of the x-intercepts of the parabola representing the quadratic function. Notice that $$c$$ and $$d$$ are the values being subtracted from $$x$$ in the linear factor expressions. The y-coordinate of any x-intercept must be $$0$$ .

What is the name of this form of a quadratic equation: y = ax² + bx + c

What are the x-intercepts of this function?

Find the vertex of

f(x) = -(x+6)(x-2)

What are the zeros of the function? Choose all that apply.

What is the maximum/minimum of a parabola called?

What is the y-intercept of this parabola?