Transform
Describe the transformation of y=x^2 to obtain y= (x-5)^2
5 units right
Find the vertex for f(x) = x^2 -4x + 3.
(2,-1)
Find the roots of x^2 -25.
-5 and 5?
The values of the variables that make an equation true.
roots/ zeros/ solutions
Describe the translation of y = x^2 -3
3 units down
Find the vertex and axis of symmetry for y= -x^2 + 2x - 1
(1,0) and x = 1
Find the roots of x^2 + 10x + 25.
-5
The value of the x that makes the f(x) = 0
zero of a function/ x-intercepts
Describe the translation y = (x+5)^2 -3
5 units left and 3 units down
Find the maximum or minimum for y = -16 x^2 + 32 x + 4
maximum of 20
Find the roots of x^2 + 5x =24
-8 and 3
What do we call the y-value of the vertex of a parabola when it opens upward?
minimum value
The function y = x^2 is moved 2 units right and 6 units up. Write the new function.
y= (x -2)^2 + 6?
State the domain and range of f(x) = 6x - x^2
a domian of all real numbers and a range of y < = 9
Find the roots of 9x^2 = 25.
- 5/3 and 5/3
What is vertex of f(x) = a ( x- h)^2 + k
(h,k)
Write the new function if y = x^2 is reflected about the x-axis, vertically stretched by a factor of 7, translated 5 units left and 3 units up.
y = -7(x + 5) +3?
A ball is hit into the air form a height of 4 feet. The function g(t) = -16t^2 + 20t + 4 can be used to model the height of the ball where t is the time in seconds after the ball is hit. Find the maximum height the ball reaches.
229 feet
Find the roots of 2x^2 + 18 x + 28.
-7 and -2
what do we call a function that can be written in the form f(x) = a ( x - h)^2 + k where a is not = 0
vertex form