Writing Vertex Form Equations from Graphs

What are the values of H and K for a vertex located at (4, 3)?

• H = 3, K = 4

• H = -4, K = -3

• H = 4, K = 3

• H = 3, K = -4

How do you determine the 'a' value in a vertex form equation?

• By finding the slope of the line

• By measuring the distance between the vertex and the origin

• By calculating the rise over run from the vertex with a run of 1

• By identifying the y-intercept

What does a positive 'a' value indicate about the direction of the parabola?

• The parabola is vertical

• The parabola is horizontal

• The parabola opens upwards

• The parabola opens downwards

Why does the H value appear opposite in the vertex form equation?

• Because the formula divides by -1

• Because the formula uses an addition sign

• Because the formula multiplies by -1

• Because the formula uses a subtraction sign

If the vertex is at (-2, -5), what are the values of H and K?

• H = 2, K = 5

• H = -2, K = -5

• H = 2, K = -5

• H = -5, K = -2

What is the 'a' value if the parabola opens downwards and the rise is -3 with a run of 1?

• a = 3

• a = -3

• a = -1

• a = 1

How do you handle a negative H value in the vertex form equation?

• By multiplying the negative value

• By subtracting the negative value

• By adding the negative value

• By dividing the negative value

For a vertex at (1, -2) and a wide parabola, what could be the 'a' value?

• a = 2

• a = 0.25

• a = 0.5

• a = 1

What does a fractional 'a' value indicate about the parabola?

• The parabola is narrow

• The parabola is wide

• The parabola is vertical

• The parabola is horizontal

How do you write the vertex form equation for a vertex at (1, -2) and a = 1/4?

• y = 1/4(x + 1)^2 - 2

• y = 1/4(x - 1)^2 + 2

• y = 1/4(x + 1)^2 + 2

• y = 1/4(x - 1)^2 - 2