Standard or Vertex Form Quadratics

What is the axis of symmetry in the function katex latex="y\ =\ \frac{1}{2}\left(x\ -\ 3\right)^2\ +\ 5"?Leave NO spaces in your answer.

(a)  

If given the equation y = 3(x - 2)² - 4, what is the y-intercept?

• (8, 0)

• (0, 8)

• (0, -4)

• (0, 16)

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

What is the formula to find the axis of symmetry?

Identify the vertex.

• (5, 2)

• (5, -2)

• (-5, 2)

• (-5, -2)

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

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

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

• f(x) = 4(x + 4)² - 62

• f(x) = 4(x - 4)² - 62

• f(x) = 4(x - 8)² - 62

• f(x) = 4(x + 8)² - 62