Graph a Quadratic Equation

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

• y = 1/2 (x+3)2 + 4

• y = 3(x+3)2 - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

What is the y-intercept of

f(x)=2x² + 4x + 6

(hint: Sub in zero for x)

• (6 , 0)

• (-6 , 0)

• (0, -6)

• (0 , 6)

What is the vertex of the following equation?
y=5(x-3)²+5

• (3,5)

• (-3,5)

• (3, -5)

• (-3,-5)

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

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

Use the picture to find the domain and range of the quadratic graph. (Graph is in increments of 1)

• Domain: from zero to 6
  Range: y is less 8

• Domain: less than or equal to 8
  Range: from zero to 6

• Domain: All REAL numbers
  Range: y is less than or equal to 8

• Domain: All REAL numbers
  Range: y is less than 8

Write a quadratic equation in vertex form given the graph (Hint: you will need the vertex (h,k) and one other point on the parabola (x,y) to find a and then write the equation!) FOLLOW THE DIRECTIONS IN THE VIDEO! Vertex form: y=a(x-h)²+k

• f(x) = (x-7)² + 1

• f(x) = -(x-7)² + 1

• f(x) = -(x-7)² - 1

• f(x) = -(x-7)² - 1