Writing equations with Vertex and a point

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9
• y = -6(x - 5)² + 9
• y = 6(x - 5)² + 9
• y = -6(x + 5)² + 9

What are the solutions? Hint: look at x-intercepts

• x= -5

• x= -1 and x = 5

• (2,-9)

• Cannot be determined

When looking at a quadratic graph, the solution(s) are always the _____________.

• y-intercept

• vertex

• x-intercept(s)

• axis of symmetry

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• line of dashes

Tags

CCSS.HSF-IF.C.7A

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

• f(x) = 1/4(x - 4)² - 1
• f(x) = 4(x - 4)² - 1
• f(x) = 4(x + 4)² - 1
• f(x) = 1/4(x + 4)² - 1

What is the equation in vertex form?

• y = -4(x + 3)² - 4

• y = 4(x - 3) - 4

• y = 4(x + 3)² + 4

• y = -4(x - 3)² + 4

Tags

CCSS.HSF-IF.C.7A

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the domain of this quadratic graph?

• y ≥ 3

• y ≤ 3

• ℝ

• y ≤ 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If the a value is negative, which direction does the parabola open?

• up
• down
• left
• right

Tags

CCSS.HSF-IF.C.7A

If the a value is positive, which direction does the graph open?

• up
• down
• left
• right

Tags

CCSS.HSF-IF.C.7A