Summative 3 Review Flashcards
How do you find the vertex of a function in Vertex Form?
(h,k)
How do you find the AOS (Axis of Symmetry) in a Vertex Form function?
x=h
Identify the form of the following equation: y=x^2+6x+12.
Standard Form.
How do you find the vertex of a function in Standard Form?
-b/2(a) and then plug in the answer for x.
Identify the form of the following equation: f(x)=(x-4)^2-2.
Vertex Form.
Is domain “up and down” or “left and right” on a graph?
Left and right (typically ends up being (-infinity, infinity)).
How would you identify the range of a graphed function?
“Up and down.”
How do you identify the y-intercept in a Vertex Form function?
(0, ); plug in 0 for x and solve.
Describe the transformation of the given function: y=-(x+5)^2-2.
Flips/reflection over the x axis (-), left 5 (+), down 2 (-).
Describe the transformation of the given function: y=(x-2)^2+3.
Right 2 (-), up 3 (+).
How do you find the minimum or maximum value of a graph with an equation? Ex. y=2x^2-12x+8.
Vertex: -b/2(a) and then plug the answer in for x.
If a parabola opens up, then there will be a _____.
Minimum.
If a parabola opens down, then there will be a _____.
Maximum.
How do you write the equation of a parabola in Vertex Form?
y=a(x-h)^2+k
Vertex: (4,1) Point: (2,-11)
What’s h? What’s k? What’s x? What’s y?
h=4, k=1, x=2, y=-11
What’s the equation for the following parabola in Vertex Form: Vertex: (-4,1); Point: (-2,-3).
-3=a(-2- -4)^2+1
y=a(x-h)^2+k
What number goes first when identifying the range/domain of a graphed parabola, the smaller number or the bigger number?
The smaller number.
How do you identify the x-intercepts of a function in Intercept Form?
(p,0)(q,0)
What is the equation for Intercept Form?
y=a(x-p)(x-q)
What is the equation for Vertex Form?
y=a(x-h)^2+k
The signs of p and q in a function that’s in Intercept Form should be written as _____.
Opposites. If there’s a “-“ in front of the number, write it as a positive, if there’s a “+” in front of the number write it as a negative.
How do you find the AOS of a function that’s in Intercept Form?
p+q/2
How many steps are there to solve a quadratic equation >2?
6
How should you solve 7p^2-28=0?
1: Remove the 7
p^2-28p=0
2: (p-28)(p-0)
3: Divide each by the 7
(p-28/7) (p-0/7)=0
(p-4)(p-0)=0
4: 4-4=0 0-0=0
5: p=4 p=0
How should you solve x^2-16=0?
1: Factor 16
1,16 2,8 4,4
2: (x-4)(x+4)=0 because -4+4=0
3: -4+4=0 4-4=0
4: x=-4 x=4
