Quadratic Equations Standard Form and Vertex Form

Given: y = 1/2(x + 4)² - 5,
Find the axis of symmetry.

• y = 4

• x = -4

• x = 4

• x = -5

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

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

Your teacher gives you an equation in vertex form and wants you to convert it to standard form. Which one of the following describes the steps in the correct order?

• 1- Distribute the "a" value.

  2- Square the expression in parentheses.

  3- Combine like terms.

• 1- Sketch the graph on the coordinate plane.

  2- Identify 2 ordered pairs.

  3- Use STAT-EDIT and STAT>CALC-Option 4 (LinReg)

• 1- Square the expression in parentheses.

  2- Combine Like Terms.

  3- Distribute the "a" value.

• 1- Square the expression in parentheses.

  2- Distribute the "a" value.

  3- Combine like terms.

A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• y = -1.5(12.5 - 8)²

• y = 2(x + 0)² + 8

• y = -2(x + 1.5)² + 12.5

• y = 8(x + 1.5)² - 12.5

• None of the above

Convert the equation from vertex form (shown) to standard form:

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Your teacher gives you an equation in vertex form. If the "a" value is -3, select the statements below that are true.

• "a" will be -3 in standard form

• "a" represents a vertical compression

• "a" will become 9 in standard form

• the parabola will open downward

• "a" describes the horizontal shift

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

Convert the equation into standard form:

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30