Quadratic Basic
What is the vertical line that cuts the parabola in half?
Axis of Symmetry
What does vertex form of a quadratic function look like?
f(x)=a(x-h)2+k
What is the standard form of a quadratic and what does the c-value tell you?
y=ax2+bx+c and the c-value tells you the y-intercept
What should you find and graph first when given a function in vertex form?
the vertex
Does the function y=x2+2x+1 have a minimum or maximum?
minimum
What is the graph of a quadratic function called?
Parabola
What is the vertex
y=2(x-4)2+3
(4,3)
What formula do you use to find the axis of symmetry in standard form?
-b/2a
What should you find and graph first when given a function in standard form?
The axis of symmetry and vertex
What is the Domain and Range tell us about a function?
Domain is all of the possible x-values
Range is all of the possible y-values
What is the absolute maximum or absolute minimum point on a parabola?
Vertex
Find the axis of symmetry
y=-2(x+3)2+1
x=-3
Find the axis of symmetry and vertex given
y=-2x2+4x - 8
Axis of symmetry is x = 1
Vertex (1, -6)
Identify the a, b, and c values and then find the axis of symmetry
y=-x2+1
a=-1 b=0 and c=1
Axis of symmetry is x=0
In what month was Mrs. Butler born
September
What does the a-value in standard form and vertex form tell you about the the parabola?
Opens up or down
Given the quadratic equation y=-4(x+2)2 -1
Identify if it is a max/min and what is the max/min value
max at y= -1
Find the axis of symmetry, vertex, and y-intercept
y=2x2+8x-3
Axis of Symmetry x=-2
Vertex (-2, -11)
Y-intercept (0, -3)
Find the vertex
y=x2 - 6x+8
(3, -1)
What word/term was named the 2024 Oxford Word of the Year, most often used by Gen Z and Gen Alpha?
brain rot
What other 2 things do we know about a parabola if we know the vertex?
axis of symmetry, max/min value,
Given the equation y=5(x-6)2+2
Find the vertex, axis of symmetry, and the max/min value
Vertex (6, 2)
Axis of Symmetry x=6
Minimum at y=2
Find the vertex, axis of symmetry, and the y-intercept
y=x2-4x+1
Vertex (2,-3)
Axis of Symmetry x=2
y-intercept (0, 1)
Identify the vertex, axis of symmetry, opening up/down and the max/min value given
y=(x-2)2 - 4
Axis of Symmetry x= 2
Opens up
Min at y= -4
Who is the #1 most streamed artist on Spotify as of las year?
taylor swift