2024 Week 1 Comparing Quadratic Functions

Which function is quadratic?

• f(x)
• h(x)
• g(x)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• TRUE

• FALSE

Tags

CCSS.HSA.REI.D.10

• y=(x-3)(x-10)

• y=(x+3)(x+10)

• y=(x-5)(x+2)

• y=(x+5)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• The y-intercept is (0,7)

• The vertex is (4,7)

• The y-intercept is (0, -7)

• The vertex is (-4,7)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compare f(x) to g(x). Which statement is true about the functions number of roots.

• f(x) has more roots than g(x)

• They both have 2 roots.

• They both have 0 roots.

• g(x) has more roots than f(x)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Compare f(x) to g(x). Which statement is true about their y-intercepts?

• f(x) has a negative y-intercept.

• g(x) has a negative y-intercept.

• They both have positive y-intercepts.

• They both have negative y-intercepts.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Compare f(x) to g(x). Which statement is true about the vertex of these functions? (Remember, when a parabola is concave up, the vertex is a minimum).

• f(x) has a greater minimum than g(x).

• g(x) has a greater minimum than f(x).

Tags

CCSS.HSA.REI.D.10

• g(x) has a greater y-intercept of 12 compared to h(x) which is a -4.

• h(x) has a greater y-intercept of 7 compared to g(x) which is a -5.

• They have equal y-intercepts of 1.

• Trick question, we don't know the y-intercept since the equations are NOT in standard form.

Tags

CCSS.HSA.REI.D.11

Select the TRUE statement.

• g(x) has a greater vertex x-value

• f(x) has a greater vertex x-value

• They have EQUAL vertex x-values.

• These equations are not in vertex form.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7