Practice - Algebra 1

9.9.5 Practice

9.9.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

Which of the following points is the vertex of the quadratic function $f(x)=x^2+8x+22$ ?

$(4, 6)$
$(-4, 6)$
$(0, 22)$
$(8, 22)$

For questions 2 – 4, use the function $f(x)=(x-4)(x+2)$ .

Write the function in standard form.

Write the function from question 2 in vertex form.

Identify the vertex of the quadratic function $f(x) = (x-1)^2 - 9$ .

$(-9, -1)$
$(-1, 9)$
$(1, 9)$
$(1, -9)$

For questions 5 - 6, write an equation in vertex form of the quadratic function that has a vertex at $(-4, 1)$ and also goes through the point $(6, -1)$ .

Find the value of $a$ for vertex form in simplest form.

Write the equation in vertex form. Hint: Be sure to use $y =$ to denote your equation.

For questions 7 and 8, write an equation in vertex form of the quadratic function that has a vertex at

(-2, -3)

and also goes through the point

(4, 2)

Find the value of $a$ for vertex form in simplest form.

Write the equation in vertex form. Hint: Be sure to use $y =$ to denote your equation.

For questions 9 - 10, use the function

f(x)=x^2

that is shifted to create the function

g(x)

that has a vertex at

(-4, 6)

Write $g(x)$ in vertex form.

Write $g(x)$ in standard form.