Writing Quadratic Equations

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.

Formula: f(x) = a(x - h)² + k

• f(x) = 3(x - 1)² - 18

• f(x) = -6(x - 1)² + 6

• f(x) = 6(x - 3)² - 18

• f(x) = -3(x + 1)² - 6

Tags

CCSS.HSA.SSE.A.2

CCSS.HSG.GPE.A.2

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?

Formula: f(x) = a(x - h)² + k

• -11 = a(10 - 6)² + 5

• y = -(10 - h)² + k

• y = -(x - 6)² + 5

• y = (x - 6)² + 5

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

Tags

CCSS.HSG.GPE.A.2

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

• y = - x² + 2x - 3
• y = x² - 2x + 3
• y = x² - 3
• y = - x² + 3

Write the equation of the parabola shown.

• y = 2x² + 4x - 5
• y = 2x² - 4x + 5
• y = 2x² + 4x + 5
• y = 2x² - 4x - 5

Tags

CCSS.HSF-IF.C.7A

Which of the following quadratic equations is a representation of the table shown?

• $y=x^2+10x-5$

• $y=10x^2-5x+1$

• $y=-5x^2+10x+1$

• $y=10x-1$

Write a quadratic equation for the graph shown.

• $y=16x^2+32x+64$

• $y=16x+64$

• $y=16x^2+64$

• $y=-16x^2+32x+64$

What is the equation, in standard form, of a parabola that models the values in the table?

• y = -3x² - 4x + 6

• y = -4x² - 3x + 6

• y = 3x² + 4x + 6

• y = -6x² - 4x + 3