Quadratic Vertex Form to Standard Form

Convert vertex form to standard form, and type answer with ^ for exponents. No spaces! Type the answer as a function, f(x):

Convert vertex form to standard form: f\left(x\right)=\left(x+5\right)^2-8

Which answer choice(s) below correctly show(s) an equation in vertex form and in its standard form? (There may be more than 1.)

• y = -3(x + 2)² + 3

  y = -3x² - 12x - 15

• y = 2(x + 5)² + 1

  y = 2x² + 20x + 51

• y = 0.5(x - 3)² - 6

  y = 0.5x² - 3x - 1.5

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

Given the equation above, which of the following statements is FALSE?

• The graph opens upward.

• The vertex is at (7, 4).

• The parabola crosses the x-axis twice.

• The standard form is y= 2x² - 28x + 102.

• The axis of symmetry is x = 7.

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is shown. The vertex and two points are labeled. Drag and drop the numbers and operations to write the equation for the parabola in vertex form. y = ​ (a)   (x​​ (b)   (c)   )² - (d)  

• -

• 1

• 6

• 12

• 4

• 8

• +

Write a quadratic equation in vertex form that can be represented by the graph that has a vertex at (3, 8) and passes through the point (2, 6) ? Enter the answer in VERTEX FORM.

Mathematical Equivalence

ON