Converting Quadratic Equations

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

Convert to vertex form. y = -2x² + 24x + 5

• y=-2(x+12)² + 77

• y=-2(x-12)² + 77

• y=-2(x-6)² + 77

• y=-2(x+6)² + 77

Convert to vertex form. f(x) = 4x² - 32x +2

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

How do we move from the vertex form to standard form?

• multiply out all terms using an area model

• completing the square

• factoring

How do we move from the factored form to standard form?

• multiply out all terms using an area model

• completing the square

• factoring

Convert the equation y= x² + 4x + 11 into vertex form.

• y = (x + 2)² - 4

• y = (x + 2)² + 7

• y = (x + 2)²

• y = (x - 2)² - 7

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4

• (x+6)²+4

• (x-6)²-4

• (x-6)²+4

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b