Module 3.3 Quadratic Equations Review

Flashcards covering prerequisite skills and key concepts for graphing quadratic functions in standard form.

What is the purpose of mirroring points on the other side of the axis of symmetry when graphing a parabola?

To graph the parabola completely

What is the standard form of a quadratic equation?

y = ax^2 + bx + c

Given the equation y = -3x^2 + 6x - 11, what is the value of 'a'?

-3

Given the equation y = -3x^2 + 6x - 11, what is the value of 'b'?

6

Given the equation y = -3x^2 + 6x - 11, what is the value of 'c'?

-11

Given the equation y = 12x^2 - 18x + 2, what is the value of 'a'?

12

Given the equation y = 12x^2 - 18x + 2, what is the value of 'b'?

-18

Given the equation y = 12x^2 - 18x + 2, what is the value of 'c'?

2

What is the first step when simplifying a fraction like -8 / (2(2))?

Multiply the numbers in the denominator FIRST

Given f(x) = 3x^2 - 5x + 2, what is f(x) when x = 8?

154 (3(8)^2 - 5(8) + 2 = 192 - 40 + 2 = 154)

Given f(x) = 3x^2 - 5x + 2, what is f(x) when x = -2?

24 (3(-2)^2 - 5(-2) + 2 = 12 + 10 + 2 = 24)

Given f(x) = 3x^2 - 5x + 2, what is f(x) when x = 0?

2 (3(0)^2 - 5(0) + 2 = 0 + 0 + 2 = 2)

What is the standard form of a quadratic equation expressed as a function notation?

f(x) = ax^2 + bx + c

How do you find the y-intercept of a quadratic function in standard form?

(0, c)

What is the formula for finding the Axis of Symmetry (AOS) of a quadratic function in standard form?

x = -b / 2a

How do you find the x-coordinate of the vertex of a parabola?

It is the value of the Axis of Symmetry (AOS), found by x = -b / 2a

How do you find the y-coordinate of the vertex of a parabola?

Plug the x-coordinate of the vertex (AOS value) into the function f(x)

After graphing the vertex and y-intercept of a quadratic function, what is the next step to complete the parabola graph?

Mirror the y-intercept point across the Axis of Symmetry

What are the main goals when graphing a quadratic function in standard form?

Find y-intercept, find Axis of Symmetry (AOS), find Vertex, then graph by mirroring points

For the function f(x) = x^2 + 4x - 1, what is the y-intercept?

(0, -1)