Key Features of Quadratic Equations

What is the domain and the range for the graph?

• Domain: All real #s

  Range : y ≤ 4

• Domain: All real #s

  Range : y ≤ 0

• Domain: All real #s Range : y > 4

• Domain: All real #s Range : y < 4

Define X-intercept

• The highest or lowest point on the graph.

• Where the parabola touches or intersects the x-axis.

• Where the parabola touches or intersects the y-axis.

• A line that divides the graph into two equal parts. i.e. cuts the graph in half.

Tags

CCSS.HSF-IF.C.7A

Determine the domain and range of the function

• Domain: All real numbers, Range: All real numbers

• Domain: x ≥ -4, Range: All real numbers

• Domain: All real numbers, Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

Which of the following equations has a graph that opens down?

• f(x) = x²-5x-3

• f(x) = -2x²+6x+9

• f(x) = 4x²

• f(x) = (x-1)²+2

Tags

CCSS.HSF-IF.C.7A

What can you tell from an equation in standard form? (without doing any calculations)
f(x)=ax²+bx+c

• x-intercepts

• vertex

• y-intercept

What can you tell from an equation in intercept (factored) form? (without doing any calculations)
f(x) = a(x-p)(x-q)

• x-intercepts

• y-intercepts

• vertex

What can you tell from an equation in vertex form?
f(x)=a(x-h)²+k

• y-intercepts

• x-intercepts

• vertex

What's the y-intercept of y = 3x²- 6x + 4

• (4,0)

• (-4,0)

• (0,-4)

• (0,4)

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?
f(x) = -3(x+1)²-5

• x = -5

• x = 1

• x = -1

• x = 3

What is another name for the x-intercepts of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

Tags

CCSS.HSF-IF.C.7C